Algebra Examples

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

Step 1

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

Step 2

Multiply both sides by $8$ .

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

Step 3

Simplify the right side.

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Step 3.1

Simplify $8 (\frac{1}{8} x + 7)$ .

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Step 3.1.1

Combine $\frac{1}{8}$ and $x$ .

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

Step 3.1.2

Apply the distributive property.

$8 y = 8 \frac{x}{8} + 8 \cdot 7$

Step 3.1.3

Cancel the common factor of $8$ .

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Step 3.1.3.1

Cancel the common factor.

$8 y = 8 \frac{x}{8} + 8 \cdot 7$

Step 3.1.3.2

Rewrite the expression.

$8 y = x + 8 \cdot 7$

Step 3.1.4

Multiply $8$ by $7$ .

$8 y = x + 56$

Step 4

Rewrite the equation.

$x + 56 = 8 y$

Step 5

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

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Step 5.1

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

$x + 56 - 8 y = 0$

Step 5.2

Move $56$ .

$x - 8 y + 56 = 0$

Step 6

Subtract $56$ from both sides of the equation.

$x - 8 y = - 56$

Step 7