Solve y=3/4(x+8)

$$y= \frac{ 3 }{ 4 } (x+8)$$

Solve for x

$$x=\frac{4\left(y-6\right)}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{4} by x+8.

$$y=\frac{3}{4}x+6$$

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

$$\frac{3}{4}x+6=y$$

Subtract 6 from both sides.

$$\frac{3}{4}x=y-6$$

Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y-6}{\frac{3}{4}}$$

Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.

$$x=\frac{y-6}{\frac{3}{4}}$$

Divide y-6 by \frac{3}{4} by multiplying y-6 by the reciprocal of \frac{3}{4}.

$$x=\frac{4y}{3}-8$$

Solve for y

$$y=\frac{3\left(x+8\right)}{4}$$

Solution Steps

Use the distributive property to multiply \frac{3}{4} by x+8.

$$y=\frac{3}{4}x+6$$