Solve 3.6a+3*(8-b)=10.2

$$3.6 a + 3 \times ( 8 - b ) = 10.2$$

Solve for a

$$a=\frac{5b-23}{6}$$

Steps for Solving Linear Equation

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

$$3.6a+24-3b=10.2$$

Subtract 24 from both sides.

$$3.6a-3b=10.2-24$$

Subtract 24 from 10.2 to get -13.8.

$$3.6a-3b=-13.8$$

Add 3b to both sides.

$$3.6a=-13.8+3b$$

The equation is in standard form.

$$3.6a=3b-13.8$$

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

$$\frac{3.6a}{3.6}=\frac{3b-13.8}{3.6}$$

Dividing by 3.6 undoes the multiplication by 3.6.

$$a=\frac{3b-13.8}{3.6}$$

Divide -13.8+3b by 3.6 by multiplying -13.8+3b by the reciprocal of 3.6.

$$a=\frac{5b-23}{6}$$

Solve for b

$$b=\frac{6a+23}{5}$$

Steps for Solving Linear Equation

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

$$3.6a+24-3b=10.2$$

Subtract 3.6a from both sides.

$$24-3b=10.2-3.6a$$

Subtract 24 from both sides.

$$-3b=10.2-3.6a-24$$

Subtract 24 from 10.2 to get -13.8.

$$-3b=-13.8-3.6a$$

The equation is in standard form.

$$-3b=\frac{-18a-69}{5}$$

Divide both sides by -3.

$$\frac{-3b}{-3}=\frac{-18a-69}{-3\times 5}$$

Dividing by -3 undoes the multiplication by -3.

$$b=\frac{-18a-69}{-3\times 5}$$

Divide \frac{-69-18a}{5} by -3.

$$b=\frac{6a+23}{5}$$