Algebra Examples

$y = 7 x - 10$ $y = - 3$

Step 1

Eliminate the equal sides of each equation and combine.

$7 x - 10 = - 3$

Step 2

Solve $7 x - 10 = - 3$ for $x$ .

Tap for more steps...

Step 2.1

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

Tap for more steps...

Step 2.1.1

Add $10$ to both sides of the equation.

$7 x = - 3 + 10$

Step 2.1.2

Add $- 3$ and $10$ .

$7 x = 7$

Step 2.2

Divide each term in $7 x = 7$ by $7$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $7 x = 7$ by $7$ .

$\frac{7 x}{7} = \frac{7}{7}$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{7}{7}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{7}{7}$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Divide $7$ by $7$ .

$x = 1$

Step 3

Substitute $1$ for $x$ .

$y = - 3$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(1, - 3)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(1, - 3)$

Equation Form:

$x = 1, y = - 3$

Step 6