Determine if Linear -11x+6(y+x)=11

$- 11 x + 6 (y + x) = 11$

Step 1

Solve the equation for $y$ .

Simplify $- 11 x + 6 (y + x)$ .

Apply the distributive property.

$- 11 x + 6 y + 6 x = 11$

Add $- 11 x$ and $6 x$ .

$- 5 x + 6 y = 11$

Add $5 x$ to both sides of the equation.

$6 y = 11 + 5 x$

Divide each term in $6 y = 11 + 5 x$ by $6$ and simplify.

Divide each term in $6 y = 11 + 5 x$ by $6$ .

$\frac{6 y}{6} = \frac{11}{6} + \frac{5 x}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{11}{6} + \frac{5 x}{6}$

Divide $y$ by $1$ .

$y = \frac{11}{6} + \frac{5 x}{6}$

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+6(y+x)=11

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