Solve x-2=0.28y-0.84

$$x - 2 = 0.28 y - 0.84$$

Solve for x

$$x=\frac{7y+29}{25}$$

Solution Steps

Add 2 to both sides.

$$x=0.28y-0.84+2$$

Add -0.84 and 2 to get 1.16.

$$x=0.28y+1.16$$

Solve for y

$$y=\frac{25x-29}{7}$$

Steps for Solving Linear Equation

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

$$0.28y-0.84=x-2$$

Add 0.84 to both sides.

$$0.28y=x-2+0.84$$

Add -2 and 0.84 to get -1.16.

$$0.28y=x-1.16$$

Divide both sides of the equation by 0.28, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.28y}{0.28}=\frac{x-1.16}{0.28}$$

Dividing by 0.28 undoes the multiplication by 0.28.

$$y=\frac{x-1.16}{0.28}$$

Divide x-1.16 by 0.28 by multiplying x-1.16 by the reciprocal of 0.28.

$$y=\frac{25x-29}{7}$$