Determine if Linear 2x+11(y+x)=9

$2 x + 11 (y + x) = 9$

Step 1

Solve the equation for $y$ .

Simplify $2 x + 11 (y + x)$ .

Apply the distributive property.

$2 x + 11 y + 11 x = 9$

Add $2 x$ and $11 x$ .

$13 x + 11 y = 9$

Subtract $13 x$ from both sides of the equation.

$11 y = 9 - 13 x$

Divide each term in $11 y = 9 - 13 x$ by $11$ and simplify.

Divide each term in $11 y = 9 - 13 x$ by $11$ .

$\frac{11 y}{11} = \frac{9}{11} + \frac{- 13 x}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 y}{11} = \frac{9}{11} + \frac{- 13 x}{11}$

Divide $y$ by $1$ .

$y = \frac{9}{11} + \frac{- 13 x}{11}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{9}{11} - \frac{13 x}{11}$

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+11(y+x)=9

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