Algebra Examples

$y = \frac{6}{5} x + 9$

Step 1

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

Step 2

Multiply both sides by $5$ .

$5 y = 5 (\frac{6}{5} x + 9)$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify $5 (\frac{6}{5} x + 9)$ .

Tap for more steps...

Step 3.1.1

Combine $\frac{6}{5}$ and $x$ .

$5 y = 5 (\frac{6 x}{5} + 9)$

Step 3.1.2

Apply the distributive property.

$5 y = 5 \frac{6 x}{5} + 5 \cdot 9$

Step 3.1.3

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.3.1

Cancel the common factor.

$5 y = 5 \frac{6 x}{5} + 5 \cdot 9$

Step 3.1.3.2

Rewrite the expression.

$5 y = 6 x + 5 \cdot 9$

Step 3.1.4

Multiply $5$ by $9$ .

$5 y = 6 x + 45$

Step 4

Rewrite the equation.

$6 x + 45 = 5 y$

Step 5

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

Tap for more steps...

Step 5.1

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

$6 x + 45 - 5 y = 0$

Step 5.2

Move $45$ .

$6 x - 5 y + 45 = 0$

Step 6

Subtract $45$ from both sides of the equation.

$6 x - 5 y = - 45$

Step 7