Solve (x-5)=4(y-5)

$$( x - 5 ) = 4 ( y - 5 )$$

Solve for x

$$x=4y-15$$

Solution Steps

Use the distributive property to multiply 4 by y-5.

$$x-5=4y-20$$

Add 5 to both sides.

$$x=4y-20+5$$

Add -20 and 5 to get -15.

$$x=4y-15$$

Solve for y

$$y=\frac{x+15}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by y-5.

$$x-5=4y-20$$

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

$$4y-20=x-5$$

Add 20 to both sides.

$$4y=x-5+20$$

Add -5 and 20 to get 15.

$$4y=x+15$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{x+15}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{x+15}{4}$$