Finite Math Examples

$y = \frac{7}{10} x + 10$

Step 1

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

Step 2

Multiply both sides by $10$ .

$10 y = 10 (\frac{7}{10} x + 10)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $10 (\frac{7}{10} x + 10)$ .

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Step 3.1.1

Combine $\frac{7}{10}$ and $x$ .

$10 y = 10 (\frac{7 x}{10} + 10)$

Step 3.1.2

Apply the distributive property.

$10 y = 10 \frac{7 x}{10} + 10 \cdot 10$

Step 3.1.3

Cancel the common factor of $10$ .

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Step 3.1.3.1

Cancel the common factor.

$10 y = 10 \frac{7 x}{10} + 10 \cdot 10$

Step 3.1.3.2

Rewrite the expression.

$10 y = 7 x + 10 \cdot 10$

Step 3.1.4

Multiply $10$ by $10$ .

$10 y = 7 x + 100$

Step 4

Rewrite the equation.

$7 x + 100 = 10 y$

Step 5

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

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Step 5.1

Subtract $10 y$ from both sides of the equation.

$7 x + 100 - 10 y = 0$

Step 5.2

Move $100$ .

$7 x - 10 y + 100 = 0$

Step 6

Subtract $100$ from both sides of the equation.

$7 x - 10 y = - 100$

Step 7