Solve 62.8(30+x+y)=2060+30x+70y

$$62.8(30+x+y)=2060+30x+70y$$

Solve for x

$$x=\frac{9y+220}{41}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 62.8 by 30+x+y.

$$1884+62.8x+62.8y=2060+30x+70y$$

Subtract 30x from both sides.

$$1884+62.8x+62.8y-30x=2060+70y$$

Combine 62.8x and -30x to get 32.8x.

$$1884+32.8x+62.8y=2060+70y$$

Subtract 1884 from both sides.

$$32.8x+62.8y=2060+70y-1884$$

Subtract 1884 from 2060 to get 176.

$$32.8x+62.8y=176+70y$$

Subtract 62.8y from both sides.

$$32.8x=176+70y-62.8y$$

Combine 70y and -62.8y to get 7.2y.

$$32.8x=176+7.2y$$

The equation is in standard form.

$$32.8x=\frac{36y}{5}+176$$

Divide both sides of the equation by 32.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{32.8x}{32.8}=\frac{\frac{36y}{5}+176}{32.8}$$

Dividing by 32.8 undoes the multiplication by 32.8.

$$x=\frac{\frac{36y}{5}+176}{32.8}$$

Divide 176+\frac{36y}{5} by 32.8 by multiplying 176+\frac{36y}{5} by the reciprocal of 32.8.

$$x=\frac{9y+220}{41}$$

Solve for y

$$y=\frac{41x-220}{9}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 62.8 by 30+x+y.

$$1884+62.8x+62.8y=2060+30x+70y$$

Subtract 70y from both sides.

$$1884+62.8x+62.8y-70y=2060+30x$$

Combine 62.8y and -70y to get -7.2y.

$$1884+62.8x-7.2y=2060+30x$$

Subtract 1884 from both sides.

$$62.8x-7.2y=2060+30x-1884$$

Subtract 1884 from 2060 to get 176.

$$62.8x-7.2y=176+30x$$

Subtract 62.8x from both sides.

$$-7.2y=176+30x-62.8x$$

Combine 30x and -62.8x to get -32.8x.

$$-7.2y=176-32.8x$$

The equation is in standard form.

$$-7.2y=-\frac{164x}{5}+176$$

Divide both sides of the equation by -7.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-7.2y}{-7.2}=\frac{-\frac{164x}{5}+176}{-7.2}$$

Dividing by -7.2 undoes the multiplication by -7.2.

$$y=\frac{-\frac{164x}{5}+176}{-7.2}$$

Divide 176-\frac{164x}{5} by -7.2 by multiplying 176-\frac{164x}{5} by the reciprocal of -7.2.

$$y=\frac{41x-220}{9}$$