Solve y+1=3/2*(x-1)

$$y+1= \frac{ 3 }{ 2 } \times (x-1)$$

Solve for x

$$x=\frac{2y+5}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by x-1.

$$y+1=\frac{3}{2}x-\frac{3}{2}$$

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

$$\frac{3}{2}x-\frac{3}{2}=y+1$$

Add \frac{3}{2} to both sides.

$$\frac{3}{2}x=y+1+\frac{3}{2}$$

Add 1 and \frac{3}{2} to get \frac{5}{2}.

$$\frac{3}{2}x=y+\frac{5}{2}$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{y+\frac{5}{2}}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$x=\frac{y+\frac{5}{2}}{\frac{3}{2}}$$

Divide y+\frac{5}{2} by \frac{3}{2} by multiplying y+\frac{5}{2} by the reciprocal of \frac{3}{2}.

$$x=\frac{2y+5}{3}$$

Solve for y

$$y=\frac{3x-5}{2}$$

Solution Steps

Use the distributive property to multiply \frac{3}{2} by x-1.

$$y+1=\frac{3}{2}x-\frac{3}{2}$$

Subtract 1 from both sides.

$$y=\frac{3}{2}x-\frac{3}{2}-1$$

Subtract 1 from -\frac{3}{2} to get -\frac{5}{2}.

$$y=\frac{3}{2}x-\frac{5}{2}$$