Basic Math Examples

$2 x + 3 y - z = 2$ $- 6 x - 4 y - 4 z = - 12$ $3 x - 3 y + 10 z = 10$

Step 1

Solve the equation for $x$ .

Tap for more steps...

Step 1.1

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 1.1.1

Subtract $3 y$ from both sides of the equation.

$2 x - z = 2 - 3 y$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.1.2

Add $z$ to both sides of the equation.

$2 x = 2 - 3 y + z$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$2 x = 2 - 3 y + z$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.2

Divide each term in $2 x = 2 - 3 y + z$ by $2$ and simplify.

Tap for more steps...

Step 1.2.1

Divide each term in $2 x = 2 - 3 y + z$ by $2$ .

$\frac{2 x}{2} = \frac{2}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{2}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = \frac{2}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = \frac{2}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.2.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.1

Simplify each term.

Tap for more steps...

Step 1.2.3.1.1

Divide $2$ by $2$ .

$x = 1 + \frac{- 3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 1.2.3.1.2

Move the negative in front of the fraction.

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$- 6 x - 4 y - 4 z = - 12$

$3 x - 3 y + 10 z = 10$

Step 2

Solve the equation for $z$ .

Tap for more steps...

Step 2.1

Simplify $- 6 (1 - \frac{3 y}{2} + \frac{z}{2}) - 4 y - 4 z$ .

Tap for more steps...

Step 2.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$- 6 \cdot 1 - 6 (- \frac{3 y}{2}) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2

Simplify.

Tap for more steps...

Step 2.1.1.2.1

Multiply $- 6$ by $1$ .

$- 6 - 6 (- \frac{3 y}{2}) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1.2.2.1

Move the leading negative in $- \frac{3 y}{2}$ into the numerator.

$- 6 - 6 \frac{- 3 y}{2} - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.2.2

Factor $2$ out of $- 6$ .

$- 6 + 2 (- 3) (\frac{- 3 y}{2}) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.2.3

Cancel the common factor.

$- 6 + 2 \cdot (- 3 \frac{- 3 y}{2}) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.2.4

Rewrite the expression.

$- 6 - 3 (- 3 y) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 - 3 (- 3 y) - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.3

Multiply $- 3$ by $- 3$ .

$- 6 + 9 y - 6 \frac{z}{2} - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1.2.4.1

Factor $2$ out of $- 6$ .

$- 6 + 9 y + 2 (- 3) (\frac{z}{2}) - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.4.2

Cancel the common factor.

$- 6 + 9 y + 2 \cdot (- 3 \frac{z}{2}) - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.1.2.4.3

Rewrite the expression.

$- 6 + 9 y - 3 z - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 + 9 y - 3 z - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 + 9 y - 3 z - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 + 9 y - 3 z - 4 y - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.1.2.1

Subtract $4 y$ from $9 y$ .

$- 6 + 5 y - 3 z - 4 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.1.2.2

Subtract $4 z$ from $- 3 z$ .

$- 6 + 5 y - 7 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 + 5 y - 7 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 6 + 5 y - 7 z = - 12$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.2

Move all terms not containing $z$ to the right side of the equation.

Tap for more steps...

Step 2.2.1

Add $6$ to both sides of the equation.

$5 y - 7 z = - 12 + 6$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.2.2

Subtract $5 y$ from both sides of the equation.

$- 7 z = - 12 + 6 - 5 y$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.2.3

Add $- 12$ and $6$ .

$- 7 z = - 6 - 5 y$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$- 7 z = - 6 - 5 y$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.3

Divide each term in $- 7 z = - 6 - 5 y$ by $- 7$ and simplify.

Tap for more steps...

Step 2.3.1

Divide each term in $- 7 z = - 6 - 5 y$ by $- 7$ .

$\frac{- 7 z}{- 7} = \frac{- 6}{- 7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.3.2

Simplify the left side.

Tap for more steps...

Step 2.3.2.1

Cancel the common factor of $- 7$ .

Tap for more steps...

Step 2.3.2.1.1

Cancel the common factor.

$\frac{- 7 z}{- 7} = \frac{- 6}{- 7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.3.2.1.2

Divide $z$ by $1$ .

$z = \frac{- 6}{- 7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{- 6}{- 7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{- 6}{- 7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.3.3

Simplify the right side.

Tap for more steps...

Step 2.3.3.1

Simplify each term.

Tap for more steps...

Step 2.3.3.1.1

Dividing two negative values results in a positive value.

$z = \frac{6}{7} + \frac{- 5 y}{- 7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 2.3.3.1.2

Dividing two negative values results in a positive value.

$z = \frac{6}{7} + \frac{5 y}{7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{6}{7} + \frac{5 y}{7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{6}{7} + \frac{5 y}{7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{6}{7} + \frac{5 y}{7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

$z = \frac{6}{7} + \frac{5 y}{7}$

$x = 1 - \frac{3 y}{2} + \frac{z}{2}$

$3 x - 3 y + 10 z = 10$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify $1 - \frac{3 y}{2} + \frac{\frac{6}{7} + \frac{5 y}{7}}{2}$ .

Tap for more steps...

Step 3.1.1

Combine the numerators over the common denominator.

$x = 1 + \frac{- 3 y + \frac{6}{7} + \frac{5 y}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.2

To write $- 3 y$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$x = 1 + \frac{- 3 y \cdot \frac{7}{7} + \frac{5 y}{7} + \frac{6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3

Simplify terms.

Tap for more steps...

Step 3.1.3.1

Combine $- 3 y$ and $\frac{7}{7}$ .

$x = 1 + \frac{\frac{- 3 y \cdot 7}{7} + \frac{5 y}{7} + \frac{6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2

Simplify terms.

Tap for more steps...

Step 3.1.3.2.1

Combine the numerators over the common denominator.

$x = 1 + \frac{\frac{- 3 y \cdot 7 + 5 y}{7} + \frac{6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.2

Combine the numerators over the common denominator.

$x = 1 + \frac{\frac{- 3 y \cdot 7 + 5 y + 6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.3

Multiply $7$ by $- 3$ .

$x = 1 + \frac{\frac{- 21 y + 5 y + 6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.4

Add $- 21 y$ and $5 y$ .

$x = 1 + \frac{\frac{- 16 y + 6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.5

Factor $2$ out of $- 16 y + 6$ .

Tap for more steps...

Step 3.1.3.2.5.1

Factor $2$ out of $- 16 y$ .

$x = 1 + \frac{\frac{2 (- 8 y) + 6}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.5.2

Factor $2$ out of $6$ .

$x = 1 + \frac{\frac{2 (- 8 y) + 2 (3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.5.3

Factor $2$ out of $2 (- 8 y) + 2 (3)$ .

$x = 1 + \frac{\frac{2 (- 8 y + 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = 1 + \frac{\frac{2 (- 8 y + 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.6

Factor $- 1$ out of $- 8 y$ .

$x = 1 + \frac{\frac{2 (- (8 y) + 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.7

Rewrite $3$ as $- 1 (- 3)$ .

$x = 1 + \frac{\frac{2 (- (8 y) - 1 \cdot - 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.8

Factor $- 1$ out of $- (8 y) - 1 (- 3)$ .

$x = 1 + \frac{\frac{2 (- (8 y - 3))}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.9

Simplify the expression.

Tap for more steps...

Step 3.1.3.2.9.1

Rewrite $- (8 y - 3)$ as $- 1 (8 y - 3)$ .

$x = 1 + \frac{\frac{2 (- 1 (8 y - 3))}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.2.9.2

Move the negative in front of the fraction.

$x = 1 + \frac{- \frac{2 (8 y - 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = 1 + \frac{- \frac{2 (8 y - 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = 1 + \frac{- \frac{2 (8 y - 3)}{7}}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3

Simplify each term.

Tap for more steps...

Step 3.1.3.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = 1 - \frac{2 (8 y - 3)}{7} \cdot \frac{1}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.3.3.2.1

Move the leading negative in $- \frac{2 (8 y - 3)}{7}$ into the numerator.

$x = 1 + \frac{- 2 (8 y - 3)}{7} \cdot \frac{1}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3.2.2

Factor $2$ out of $- 2 (8 y - 3)$ .

$x = 1 + \frac{2 (- (8 y - 3))}{7} \cdot \frac{1}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3.2.3

Cancel the common factor.

$x = 1 + \frac{2 (- (8 y - 3))}{7} \cdot \frac{1}{2}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3.2.4

Rewrite the expression.

$x = 1 + \frac{- (8 y - 3)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = 1 + \frac{- (8 y - 3)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.3.3

Move the negative in front of the fraction.

$x = 1 - \frac{8 y - 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = 1 - \frac{8 y - 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.4

Combine into one fraction.

Tap for more steps...

Step 3.1.3.4.1

Write $1$ as a fraction with a common denominator.

$x = \frac{7}{7} - \frac{8 y - 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.3.4.2

Combine the numerators over the common denominator.

$x = \frac{7 - (8 y - 3)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = \frac{7 - (8 y - 3)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = \frac{7 - (8 y - 3)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4

Simplify the numerator.

Tap for more steps...

Step 3.1.4.1

Apply the distributive property.

$x = \frac{7 - (8 y) + 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.2

Multiply $8$ by $- 1$ .

$x = \frac{7 - 8 y + 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.3

Multiply $- 1$ by $- 3$ .

$x = \frac{7 - 8 y + 3}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.4

Add $7$ and $3$ .

$x = \frac{- 8 y + 10}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.5

Factor $2$ out of $- 8 y + 10$ .

Tap for more steps...

Step 3.1.4.5.1

Factor $2$ out of $- 8 y$ .

$x = \frac{2 (- 4 y) + 10}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.5.2

Factor $2$ out of $10$ .

$x = \frac{2 (- 4 y) + 2 (5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.4.5.3

Factor $2$ out of $2 (- 4 y) + 2 (5)$ .

$x = \frac{2 (- 4 y + 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = \frac{2 (- 4 y + 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = \frac{2 (- 4 y + 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.5

Simplify with factoring out.

Tap for more steps...

Step 3.1.5.1

Factor $- 1$ out of $- 4 y$ .

$x = \frac{2 (- (4 y) + 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.5.2

Rewrite $5$ as $- 1 (- 5)$ .

$x = \frac{2 (- (4 y) - 1 \cdot - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.5.3

Factor $- 1$ out of $- (4 y) - 1 (- 5)$ .

$x = \frac{2 (- (4 y - 5))}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.5.4

Simplify the expression.

Tap for more steps...

Step 3.1.5.4.1

Rewrite $- (4 y - 5)$ as $- 1 (4 y - 5)$ .

$x = \frac{2 (- 1 (4 y - 5))}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 3.1.5.4.2

Move the negative in front of the fraction.

$x = - \frac{2 (4 y - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = - \frac{2 (4 y - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = - \frac{2 (4 y - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = - \frac{2 (4 y - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

$x = - \frac{2 (4 y - 5)}{7}$

$z = \frac{6}{7} + \frac{5 y}{7}$

$3 x - 3 y + 10 z = 10$

Step 4

Simplify the right side.

Tap for more steps...

Step 4.1

Reorder $\frac{6}{7}$ and $\frac{5 y}{7}$ .

$z = \frac{5 y}{7} + \frac{6}{7}$

$x = - \frac{2 (4 y - 5)}{7}$

$3 x - 3 y + 10 z = 10$

$z = \frac{5 y}{7} + \frac{6}{7}$

$x = - \frac{2 (4 y - 5)}{7}$

$3 x - 3 y + 10 z = 10$