Determine if Linear 2x-3y=7

$2 x - 3 y = 7$

Step 1

Solve the equation for $y$ .

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

$- 3 y = 7 - 2 x$

Divide each term in $- 3 y = 7 - 2 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = 7 - 2 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{7}{- 3} + \frac{- 2 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{7}{- 3} + \frac{- 2 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{7}{- 3} + \frac{- 2 x}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{7}{3} + \frac{- 2 x}{- 3}$

Dividing two negative values results in a positive value.

$y = - \frac{7}{3} + \frac{2 x}{3}$

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

Determine if Linear 2x-3y=7

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