Determine if Linear 8x+3(y+x)=9

$8 x + 3 (y + x) = 9$

Step 1

Solve the equation for $y$ .

Simplify $8 x + 3 (y + x)$ .

Apply the distributive property.

$8 x + 3 y + 3 x = 9$

Add $8 x$ and $3 x$ .

$11 x + 3 y = 9$

Subtract $11 x$ from both sides of the equation.

$3 y = 9 - 11 x$

Divide each term in $3 y = 9 - 11 x$ by $3$ and simplify.

Divide each term in $3 y = 9 - 11 x$ by $3$ .

$\frac{3 y}{3} = \frac{9}{3} + \frac{- 11 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{9}{3} + \frac{- 11 x}{3}$

Divide $y$ by $1$ .

$y = \frac{9}{3} + \frac{- 11 x}{3}$

Simplify the right side.

Simplify each term.

Divide $9$ by $3$ .

$y = 3 + \frac{- 11 x}{3}$

Move the negative in front of the fraction.

$y = 3 - \frac{11 x}{3}$

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 8x+3(y+x)=9

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