Solve y-5=3/4(x+3)

$$y - 5 = \frac { 3 } { 4 } ( x + 3 )$$

Solve for x

$$x=\frac{4y-29}{3}$$

Steps for Solving Linear Equation

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

$$y-5=\frac{3}{4}x+\frac{9}{4}$$

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

$$\frac{3}{4}x+\frac{9}{4}=y-5$$

Subtract \frac{9}{4} from both sides.

$$\frac{3}{4}x=y-5-\frac{9}{4}$$

Subtract \frac{9}{4} from -5 to get -\frac{29}{4}.

$$\frac{3}{4}x=y-\frac{29}{4}$$

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

$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y-\frac{29}{4}}{\frac{3}{4}}$$

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

$$x=\frac{y-\frac{29}{4}}{\frac{3}{4}}$$

Divide y-\frac{29}{4} by \frac{3}{4} by multiplying y-\frac{29}{4} by the reciprocal of \frac{3}{4}.

$$x=\frac{4y-29}{3}$$

Solve for y

$$y=\frac{3x+29}{4}$$

Solution Steps

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

$$y-5=\frac{3}{4}x+\frac{9}{4}$$

Add 5 to both sides.

$$y=\frac{3}{4}x+\frac{9}{4}+5$$

Add \frac{9}{4} and 5 to get \frac{29}{4}.

$$y=\frac{3}{4}x+\frac{29}{4}$$