Solve 5x=y/10-7

$$5 x = \frac { y } { 10 } - 7$$

Solve for x

$$x=\frac{y-70}{50}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$50x=y-70$$

Divide both sides by 50.

$$\frac{50x}{50}=\frac{y-70}{50}$$

Dividing by 50 undoes the multiplication by 50.

$$x=\frac{y-70}{50}$$

Divide y-70 by 50.

$$x=\frac{y}{50}-\frac{7}{5}$$

Solve for y

$$y=50x+70$$

Solution Steps

Multiply both sides of the equation by 10.

$$50x=y-70$$

Swap sides so that all variable terms are on the left hand side.

$$y-70=50x$$

Add 70 to both sides.

$$y=50x+70$$