Pre-Algebra Examples

$y = \frac{8}{5} x + 4$

Step 1

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

Step 2

Multiply both sides by $5$ .

$5 y = 5 (\frac{8}{5} x + 4)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $5 (\frac{8}{5} x + 4)$ .

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Step 3.1.1

Combine $\frac{8}{5}$ and $x$ .

$5 y = 5 (\frac{8 x}{5} + 4)$

Step 3.1.2

Apply the distributive property.

$5 y = 5 \frac{8 x}{5} + 5 \cdot 4$

Step 3.1.3

Cancel the common factor of $5$ .

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Step 3.1.3.1

Cancel the common factor.

$5 y = 5 \frac{8 x}{5} + 5 \cdot 4$

Step 3.1.3.2

Rewrite the expression.

$5 y = 8 x + 5 \cdot 4$

Step 3.1.4

Multiply $5$ by $4$ .

$5 y = 8 x + 20$

Step 4

Rewrite the equation.

$8 x + 20 = 5 y$

Step 5

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

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Step 5.1

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

$8 x + 20 - 5 y = 0$

Step 5.2

Move $20$ .

$8 x - 5 y + 20 = 0$

Step 6

Subtract $20$ from both sides of the equation.

$8 x - 5 y = - 20$

Step 7