Solve 1.6x-2.4y=4

$$1.6 x - 2.4 y = 4$$

Solve for x

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

Steps for Solving Linear Equation

Add 2.4y to both sides.

$$1.6x=4+2.4y$$

The equation is in standard form.

$$1.6x=\frac{12y}{5}+4$$

Divide both sides of the equation by 1.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.6x}{1.6}=\frac{\frac{12y}{5}+4}{1.6}$$

Dividing by 1.6 undoes the multiplication by 1.6.

$$x=\frac{\frac{12y}{5}+4}{1.6}$$

Divide 4+\frac{12y}{5} by 1.6 by multiplying 4+\frac{12y}{5} by the reciprocal of 1.6.

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

Solve for y

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

Steps for Solving Linear Equation

Subtract 1.6x from both sides.

$$-2.4y=4-1.6x$$

The equation is in standard form.

$$-2.4y=-\frac{8x}{5}+4$$

Divide both sides of the equation by -2.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-2.4y}{-2.4}=\frac{-\frac{8x}{5}+4}{-2.4}$$

Dividing by -2.4 undoes the multiplication by -2.4.

$$y=\frac{-\frac{8x}{5}+4}{-2.4}$$

Divide 4-\frac{8x}{5} by -2.4 by multiplying 4-\frac{8x}{5} by the reciprocal of -2.4.

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