Solve 3.6a+3*(8-b)=10.22-87

$$3.6 a + 3 \times ( 8 - b ) = 10.22 - 87$$

Solve for a

$$a=\frac{5b}{6}-\frac{5039}{180}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 8-b.

$$3.6a+24-3b=10.22-87$$

Subtract 87 from 10.22 to get -76.78.

$$3.6a+24-3b=-76.78$$

Subtract 24 from both sides.

$$3.6a-3b=-76.78-24$$

Subtract 24 from -76.78 to get -100.78.

$$3.6a-3b=-100.78$$

Add 3b to both sides.

$$3.6a=-100.78+3b$$

The equation is in standard form.

$$3.6a=3b-100.78$$

Divide both sides of the equation by 3.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.6a}{3.6}=\frac{3b-100.78}{3.6}$$

Dividing by 3.6 undoes the multiplication by 3.6.

$$a=\frac{3b-100.78}{3.6}$$

Divide -100.78+3b by 3.6 by multiplying -100.78+3b by the reciprocal of 3.6.

$$a=\frac{5b}{6}-\frac{5039}{180}$$

Solve for b

$$b=\frac{6a}{5}+\frac{5039}{150}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 8-b.

$$3.6a+24-3b=10.22-87$$

Subtract 87 from 10.22 to get -76.78.

$$3.6a+24-3b=-76.78$$

Subtract 3.6a from both sides.

$$24-3b=-76.78-3.6a$$

Subtract 24 from both sides.

$$-3b=-76.78-3.6a-24$$

Subtract 24 from -76.78 to get -100.78.

$$-3b=-100.78-3.6a$$

The equation is in standard form.

$$-3b=-\frac{18a}{5}-100.78$$

Divide both sides by -3.

$$\frac{-3b}{-3}=\frac{-\frac{18a}{5}-100.78}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$b=\frac{-\frac{18a}{5}-100.78}{-3}$$

Divide -100.78-\frac{18a}{5} by -3.

$$b=\frac{6a}{5}+\frac{5039}{150}$$