Solve x=5/2-3/4*y

$$x= \frac{ 5 }{ 2 } - \frac{ 3 }{ 4 } \times y$$

Solve for y

$$y=\frac{10-4x}{3}$$

Steps for Solving Linear Equation

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

$$\frac{5}{2}-\frac{3}{4}y=x$$

Subtract \frac{5}{2} from both sides.

$$-\frac{3}{4}y=x-\frac{5}{2}$$

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

$$\frac{-\frac{3}{4}y}{-\frac{3}{4}}=\frac{x-\frac{5}{2}}{-\frac{3}{4}}$$

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

$$y=\frac{x-\frac{5}{2}}{-\frac{3}{4}}$$

Divide x-\frac{5}{2} by -\frac{3}{4} by multiplying x-\frac{5}{2} by the reciprocal of -\frac{3}{4}.

$$y=\frac{10-4x}{3}$$

Solve for x

$$x=-\frac{3y}{4}+\frac{5}{2}$$