Solve 1.2y=2x-5.4

$$1.2y = 2x-5.4$$

Solve for x

$$x=\frac{3y}{5}+2.7$$

Steps for Solving Linear Equation

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

$$2x-5.4=1.2y$$

Add 5.4 to both sides.

$$2x=1.2y+5.4$$

The equation is in standard form.

$$2x=\frac{6y+27}{5}$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{6y+27}{2\times 5}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{6y+27}{2\times 5}$$

Divide \frac{6y+27}{5} by 2.

$$x=\frac{3y}{5}+\frac{27}{10}$$

Solve for y

$$y=\frac{5x}{3}-4.5$$

Steps for Solving Linear Equation

The equation is in standard form.

$$1.2y=2x-5.4$$

Divide both sides of the equation by 1.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.2y}{1.2}=\frac{2x-5.4}{1.2}$$

Dividing by 1.2 undoes the multiplication by 1.2.

$$y=\frac{2x-5.4}{1.2}$$

Divide 2x-5.4 by 1.2 by multiplying 2x-5.4 by the reciprocal of 1.2.

$$y=\frac{5x}{3}-\frac{9}{2}$$