Solve y-0=0.75(x-4)

$$y-0=0.75(x-4)$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 0.75 by x-4.

$$y-0=0.75x-3$$

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

$$0.75x-3=y-0$$

Add 3 to both sides.

$$0.75x=y-0+3$$

Reorder the terms.

$$0.75x=y+3$$

Divide both sides of the equation by 0.75, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.75x}{0.75}=\frac{y+3}{0.75}$$

Dividing by 0.75 undoes the multiplication by 0.75.

$$x=\frac{y+3}{0.75}$$

Divide y+3 by 0.75 by multiplying y+3 by the reciprocal of 0.75.

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

Solve for y

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

Solution Steps

Use the distributive property to multiply 0.75 by x-4.

$$y-0=0.75x-3$$

Add 0 to both sides.

$$y=0.75x-3+0$$

Add -3 and 0 to get -3.

$$y=0.75x-3$$