Algebra Examples

$2 x + 3 y = - 17$

Step 1

Solve the equation for $y$ .

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Step 1.1

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

$3 y = - 17 - 2 x$

Step 1.2

Divide each term in $3 y = - 17 - 2 x$ by $3$ and simplify.

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Step 1.2.1

Divide each term in $3 y = - 17 - 2 x$ by $3$ .

$\frac{3 y}{3} = \frac{- 17}{3} + \frac{- 2 x}{3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 17}{3} + \frac{- 2 x}{3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 17}{3} + \frac{- 2 x}{3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{17}{3} + \frac{- 2 x}{3}$

Step 1.2.3.1.2

Move the negative in front of the fraction.

$y = - \frac{17}{3} - \frac{2 x}{3}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear