Solve 10=20x-y/5

$$10=20 \frac{ x-y }{ 5 }$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Solution Steps

Divide both sides by 20.

$$\frac{10}{20}=\frac{x-y}{5}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{1}{2}=\frac{x-y}{5}$$

Multiply both sides by 5.

$$\frac{1}{2}\times 5=x-y$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{5}{2}=x-y$$

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

$$x-y=\frac{5}{2}$$

Add y to both sides.

$$x=\frac{5}{2}+y$$

Solve for y

$$y = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Divide both sides by 20.

$$\frac{10}{20}=\frac{x-y}{5}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{1}{2}=\frac{x-y}{5}$$

Multiply both sides by 5.

$$\frac{1}{2}\times 5=x-y$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{5}{2}=x-y$$

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

$$x-y=\frac{5}{2}$$

Subtract x from both sides.

$$-y=\frac{5}{2}-x$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{\frac{5}{2}-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{\frac{5}{2}-x}{-1}$$

Divide \frac{5}{2}-x by -1.

$$y=x-\frac{5}{2}$$