Algebra Examples

$5 x + 3 y = 2 y - 3$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Move all terms containing $y$ to the left side of the equation.

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Step 2.1.1

Subtract $2 y$ from both sides of the equation.

$5 x + 3 y - 2 y = - 3$

Step 2.1.2

Subtract $2 y$ from $3 y$ .

$5 x + y = - 3$

Step 2.2

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

$y = - 3 - 5 x$

Step 2.3

Reorder $- 3$ and $- 5 x$ .

$y = - 5 x - 3$