Determine if Linear 3x+5(y+x)=4

$3 x + 5 (y + x) = 4$

Step 1

Solve the equation for $y$ .

Simplify $3 x + 5 (y + x)$ .

Apply the distributive property.

$3 x + 5 y + 5 x = 4$

Add $3 x$ and $5 x$ .

$8 x + 5 y = 4$

Subtract $8 x$ from both sides of the equation.

$5 y = 4 - 8 x$

Divide each term in $5 y = 4 - 8 x$ by $5$ and simplify.

Divide each term in $5 y = 4 - 8 x$ by $5$ .

$\frac{5 y}{5} = \frac{4}{5} + \frac{- 8 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{4}{5} + \frac{- 8 x}{5}$

Divide $y$ by $1$ .

$y = \frac{4}{5} + \frac{- 8 x}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{4}{5} - \frac{8 x}{5}$

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 3x+5(y+x)=4

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