Solve .08x+.13y=.09(310)

$$.08x+.13y=.09(310)$$

Solve for x

$$x=-\frac{13y}{8}+348.75$$

Steps for Solving Linear Equation

Multiply 0.09 and 310 to get 27.9.

$$0.08x+0.13y=27.9$$

Subtract 0.13y from both sides.

$$0.08x=27.9-0.13y$$

The equation is in standard form.

$$0.08x=-\frac{13y}{100}+27.9$$

Divide both sides of the equation by 0.08, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.08x}{0.08}=\frac{-\frac{13y}{100}+27.9}{0.08}$$

Dividing by 0.08 undoes the multiplication by 0.08.

$$x=\frac{-\frac{13y}{100}+27.9}{0.08}$$

Divide 27.9-\frac{13y}{100} by 0.08 by multiplying 27.9-\frac{13y}{100} by the reciprocal of 0.08.

$$x=-\frac{13y}{8}+\frac{1395}{4}$$

Solve for y

$$y=\frac{2790-8x}{13}$$

Steps for Solving Linear Equation

Multiply 0.09 and 310 to get 27.9.

$$0.08x+0.13y=27.9$$

Subtract 0.08x from both sides.

$$0.13y=27.9-0.08x$$

The equation is in standard form.

$$0.13y=-\frac{2x}{25}+27.9$$

Divide both sides of the equation by 0.13, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.13y}{0.13}=\frac{-\frac{2x}{25}+27.9}{0.13}$$

Dividing by 0.13 undoes the multiplication by 0.13.

$$y=\frac{-\frac{2x}{25}+27.9}{0.13}$$

Divide 27.9-\frac{2x}{25} by 0.13 by multiplying 27.9-\frac{2x}{25} by the reciprocal of 0.13.

$$y=\frac{2790-8x}{13}$$