Solve y+7=5/4(x+16)

$$y + 7 = \frac { 5 } { 4 } ( x + 16 )$$

Solve for x

$$x=\frac{4\left(y-13\right)}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{5}{4} by x+16.

$$y+7=\frac{5}{4}x+20$$

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

$$\frac{5}{4}x+20=y+7$$

Subtract 20 from both sides.

$$\frac{5}{4}x=y+7-20$$

Subtract 20 from 7 to get -13.

$$\frac{5}{4}x=y-13$$

Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{4}x}{\frac{5}{4}}=\frac{y-13}{\frac{5}{4}}$$

Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.

$$x=\frac{y-13}{\frac{5}{4}}$$

Divide y-13 by \frac{5}{4} by multiplying y-13 by the reciprocal of \frac{5}{4}.

$$x=\frac{4y-52}{5}$$

Solve for y

$$y=\frac{5x}{4}+13$$

Solution Steps

Use the distributive property to multiply \frac{5}{4} by x+16.

$$y+7=\frac{5}{4}x+20$$

Subtract 7 from both sides.

$$y=\frac{5}{4}x+20-7$$

Subtract 7 from 20 to get 13.

$$y=\frac{5}{4}x+13$$