Pre-Algebra Examples

$y = \frac{5}{4} x - 1$

Step 1

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

Step 2

Multiply both sides by $4$ .

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

Step 3

Simplify the right side.

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Step 3.1

Simplify $4 (\frac{5}{4} x - 1)$ .

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Step 3.1.1

Combine $\frac{5}{4}$ and $x$ .

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

Step 3.1.2

Apply the distributive property.

$4 y = 4 \frac{5 x}{4} + 4 \cdot - 1$

Step 3.1.3

Cancel the common factor of $4$ .

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Step 3.1.3.1

Cancel the common factor.

$4 y = 4 \frac{5 x}{4} + 4 \cdot - 1$

Step 3.1.3.2

Rewrite the expression.

$4 y = 5 x + 4 \cdot - 1$

Step 3.1.4

Multiply $4$ by $- 1$ .

$4 y = 5 x - 4$

Step 4

Rewrite the equation.

$5 x - 4 = 4 y$

Step 5

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

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Step 5.1

Subtract $4 y$ from both sides of the equation.

$5 x - 4 - 4 y = 0$

Step 5.2

Move $- 4$ .

$5 x - 4 y - 4 = 0$

Step 6

Add $4$ to both sides of the equation.

$5 x - 4 y = 4$

Step 7