Determine if Linear 11x+3(y+x)=5

$11 x + 3 (y + x) = 5$

Solve the equation for $y$ .

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

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Apply the distributive property.

$11 x + 3 y + 3 x = 5$

Add $11 x$ and $3 x$ .

$14 x + 3 y = 5$

Subtract $14 x$ from both sides of the equation.

$3 y = 5 - 14 x$

Divide each term by $3$ and simplify.

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Divide each term in $3 y = 5 - 14 x$ by $3$ .

$\frac{3 y}{3} = \frac{5}{3} + \frac{- 14 x}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 y}{3} = \frac{5}{3} + \frac{- 14 x}{3}$

Divide $y$ by $1$ .

$y = \frac{5}{3} + \frac{- 14 x}{3}$

Move the negative in front of the fraction.

$y = \frac{5}{3} - \frac{14 x}{3}$

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)=5

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