Determine if Linear -3x+7(y+x)=3

$- 3 x + 7 (y + x) = 3$

Step 1

Solve the equation for $y$ .

Simplify $- 3 x + 7 (y + x)$ .

Apply the distributive property.

$- 3 x + 7 y + 7 x = 3$

Add $- 3 x$ and $7 x$ .

$4 x + 7 y = 3$

Subtract $4 x$ from both sides of the equation.

$7 y = 3 - 4 x$

Divide each term in $7 y = 3 - 4 x$ by $7$ and simplify.

Divide each term in $7 y = 3 - 4 x$ by $7$ .

$\frac{7 y}{7} = \frac{3}{7} + \frac{- 4 x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{3}{7} + \frac{- 4 x}{7}$

Divide $y$ by $1$ .

$y = \frac{3}{7} + \frac{- 4 x}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{3}{7} - \frac{4 x}{7}$

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+7(y+x)=3

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