Solve y+1=3/7(x+5)

$$y + 1 = \frac { 3 } { 7 } ( x + 5 )$$

Solve for x

$$x=\frac{7y-8}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{7} by x+5.

$$y+1=\frac{3}{7}x+\frac{15}{7}$$

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

$$\frac{3}{7}x+\frac{15}{7}=y+1$$

Subtract \frac{15}{7} from both sides.

$$\frac{3}{7}x=y+1-\frac{15}{7}$$

Subtract \frac{15}{7} from 1 to get -\frac{8}{7}.

$$\frac{3}{7}x=y-\frac{8}{7}$$

Divide both sides of the equation by \frac{3}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{7}x}{\frac{3}{7}}=\frac{y-\frac{8}{7}}{\frac{3}{7}}$$

Dividing by \frac{3}{7} undoes the multiplication by \frac{3}{7}.

$$x=\frac{y-\frac{8}{7}}{\frac{3}{7}}$$

Divide y-\frac{8}{7} by \frac{3}{7} by multiplying y-\frac{8}{7} by the reciprocal of \frac{3}{7}.

$$x=\frac{7y-8}{3}$$

Solve for y

$$y=\frac{3x+8}{7}$$

Solution Steps

Use the distributive property to multiply \frac{3}{7} by x+5.

$$y+1=\frac{3}{7}x+\frac{15}{7}$$

Subtract 1 from both sides.

$$y=\frac{3}{7}x+\frac{15}{7}-1$$

Subtract 1 from \frac{15}{7} to get \frac{8}{7}.

$$y=\frac{3}{7}x+\frac{8}{7}$$