Finite Math Examples

$y - 10 = \frac{3}{4} \cdot (x - 12)$

Step 1

Simplify $\frac{3}{4} \cdot (x - 12)$ .

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Step 1.1

Rewrite.

$y - 10 = 0 + 0 + \frac{3}{4} \cdot (x - 12)$

Step 1.2

Simplify by adding zeros.

$y - 10 = \frac{3}{4} \cdot (x - 12)$

Step 1.3

Apply the distributive property.

$y - 10 = \frac{3}{4} x + \frac{3}{4} \cdot - 12$

Step 1.4

Combine $\frac{3}{4}$ and $x$ .

$y - 10 = \frac{3 x}{4} + \frac{3}{4} \cdot - 12$

Step 1.5

Cancel the common factor of $4$ .

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Step 1.5.1

Factor $4$ out of $- 12$ .

$y - 10 = \frac{3 x}{4} + \frac{3}{4} \cdot (4 (- 3))$

Step 1.5.2

Cancel the common factor.

$y - 10 = \frac{3 x}{4} + \frac{3}{4} \cdot (4 \cdot - 3)$

Step 1.5.3

Rewrite the expression.

$y - 10 = \frac{3 x}{4} + 3 \cdot - 3$

Step 1.6

Multiply $3$ by $- 3$ .

$y - 10 = \frac{3 x}{4} - 9$

Step 2

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

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Step 2.1

Add $10$ to both sides of the equation.

$y = \frac{3 x}{4} - 9 + 10$

Step 2.2

Add $- 9$ and $10$ .

$y = \frac{3 x}{4} + 1$