Solve 5.85x+4.60y=766.15

$$5.85 x + 4.60 y = 766.15$$

Solve for x

$$x=\frac{15323-92y}{117}$$

Steps for Solving Linear Equation

Subtract 4.6y from both sides.

$$5.85x=766.15-4.6y$$

The equation is in standard form.

$$5.85x=-\frac{23y}{5}+766.15$$

Divide both sides of the equation by 5.85, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.85x}{5.85}=\frac{-\frac{23y}{5}+766.15}{5.85}$$

Dividing by 5.85 undoes the multiplication by 5.85.

$$x=\frac{-\frac{23y}{5}+766.15}{5.85}$$

Divide 766.15-\frac{23y}{5} by 5.85 by multiplying 766.15-\frac{23y}{5} by the reciprocal of 5.85.

$$x=\frac{15323-92y}{117}$$

Solve for y

$$y=\frac{15323-117x}{92}$$

Steps for Solving Linear Equation

Subtract 5.85x from both sides.

$$4.6y=766.15-5.85x$$

The equation is in standard form.

$$4.6y=\frac{15323-117x}{20}$$

Divide both sides of the equation by 4.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.6y}{4.6}=\frac{15323-117x}{4.6\times 20}$$

Dividing by 4.6 undoes the multiplication by 4.6.

$$y=\frac{15323-117x}{4.6\times 20}$$

Divide \frac{15323-117x}{20} by 4.6 by multiplying \frac{15323-117x}{20} by the reciprocal of 4.6.

$$y=\frac{15323-117x}{92}$$