Pre-Algebra Examples

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

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $8$ .

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

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Simplify $8 (- 7 x + y)$ .

Tap for more steps...

Step 3.1.1

Apply the distributive property.

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

Step 3.1.2

Multiply $- 7$ by $8$ .

$- 56 x + 8 y = 8 (- \frac{1}{8})$

Step 4

Simplify the right side.

Tap for more steps...

Step 4.1

Cancel the common factor of $8$ .

Tap for more steps...

Step 4.1.1

Move the leading negative in $- \frac{1}{8}$ into the numerator.

$- 56 x + 8 y = 8 (\frac{- 1}{8})$

Step 4.1.2

Cancel the common factor.

$- 56 x + 8 y = 8 (\frac{- 1}{8})$

Step 4.1.3

Rewrite the expression.

$- 56 x + 8 y = - 1$

Step 5

Rewrite the equation.

$- 1 = - 56 x + 8 y$

Step 6

Move all terms containing variables to the left side of the equation.

Tap for more steps...

Step 6.1

Add $56 x$ to both sides of the equation.

$- 1 + 56 x = 8 y$

Step 6.2

Subtract $8 y$ from both sides of the equation.

$- 1 + 56 x - 8 y = 0$

Step 6.3

Move $- 1$ .

$56 x - 8 y - 1 = 0$

Step 7

Add $1$ to both sides of the equation.

$56 x - 8 y = 1$

Step 8