Determine if Linear -11x+3(y+x)=9

$- 11 x + 3 (y + x) = 9$

Step 1

Solve the equation for $y$ .

Simplify $- 11 x + 3 (y + x)$ .

Apply the distributive property.

$- 11 x + 3 y + 3 x = 9$

Add $- 11 x$ and $3 x$ .

$- 8 x + 3 y = 9$

Add $8 x$ to both sides of the equation.

$3 y = 9 + 8 x$

Divide each term in $3 y = 9 + 8 x$ by $3$ and simplify.

Divide each term in $3 y = 9 + 8 x$ by $3$ .

$\frac{3 y}{3} = \frac{9}{3} + \frac{8 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{9}{3} + \frac{8 x}{3}$

Divide $y$ by $1$ .

$y = \frac{9}{3} + \frac{8 x}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$y = 3 + \frac{8 x}{3}$

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 -11x+3(y+x)=9

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