Solve y-1=-0.75(x-3)

$$y-1=-0.75(x-3)$$

Solve for x

$$x=\frac{13-4y}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.75 by x-3.

$$y-1=-0.75x+2.25$$

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

$$-0.75x+2.25=y-1$$

Subtract 2.25 from both sides.

$$-0.75x=y-1-2.25$$

Subtract 2.25 from -1 to get -3.25.

$$-0.75x=y-3.25$$

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

$$\frac{-0.75x}{-0.75}=\frac{y-3.25}{-0.75}$$

Dividing by -0.75 undoes the multiplication by -0.75.

$$x=\frac{y-3.25}{-0.75}$$

Divide y-3.25 by -0.75 by multiplying y-3.25 by the reciprocal of -0.75.

$$x=\frac{13-4y}{3}$$

Solve for y

$$y=\frac{13-3x}{4}$$

Solution Steps

Use the distributive property to multiply -0.75 by x-3.

$$y-1=-0.75x+2.25$$

Add 1 to both sides.

$$y=-0.75x+2.25+1$$

Add 2.25 and 1 to get 3.25.

$$y=-0.75x+3.25$$