Solve 7.85x-10.55y=3.57x+60.6

$$7.85x-10.55y=3.57x+60.6$$

Solve for x

$$x=\frac{1055y}{428}+\frac{1515}{107}$$

Steps for Solving Linear Equation

Subtract 3.57x from both sides.

$$7.85x-10.55y-3.57x=60.6$$

Combine 7.85x and -3.57x to get 4.28x.

$$4.28x-10.55y=60.6$$

Add 10.55y to both sides.

$$4.28x=60.6+10.55y$$

The equation is in standard form.

$$4.28x=\frac{211y}{20}+60.6$$

Divide both sides of the equation by 4.28, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.28x}{4.28}=\frac{\frac{211y}{20}+60.6}{4.28}$$

Dividing by 4.28 undoes the multiplication by 4.28.

$$x=\frac{\frac{211y}{20}+60.6}{4.28}$$

Divide 60.6+\frac{211y}{20} by 4.28 by multiplying 60.6+\frac{211y}{20} by the reciprocal of 4.28.

$$x=\frac{1055y}{428}+\frac{1515}{107}$$

Solve for y

$$y=\frac{428x}{1055}-\frac{1212}{211}$$

Steps for Solving Linear Equation

Subtract 7.85x from both sides.

$$-10.55y=3.57x+60.6-7.85x$$

Combine 3.57x and -7.85x to get -4.28x.

$$-10.55y=-4.28x+60.6$$

The equation is in standard form.

$$-10.55y=-\frac{107x}{25}+60.6$$

Divide both sides of the equation by -10.55, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-10.55y}{-10.55}=\frac{-\frac{107x}{25}+60.6}{-10.55}$$

Dividing by -10.55 undoes the multiplication by -10.55.

$$y=\frac{-\frac{107x}{25}+60.6}{-10.55}$$

Divide -\frac{107x}{25}+60.6 by -10.55 by multiplying -\frac{107x}{25}+60.6 by the reciprocal of -10.55.

$$y=\frac{428x}{1055}-\frac{1212}{211}$$