Solve 3/4y=2x-5

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

Solve for x

$$x=\frac{3y}{8}+\frac{5}{2}$$

Steps for Solving Linear Equation

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

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

Add 5 to both sides.

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

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide \frac{3y}{4}+5 by 2.

$$x=\frac{3y}{8}+\frac{5}{2}$$

Solve for y

$$y=\frac{8x-20}{3}$$

Steps for Solving Linear Equation

The equation is in standard form.

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

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

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

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

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

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

$$y=\frac{8x-20}{3}$$