Solve -220(186)b+12000(a-b)=0.7

$$- 220 ( 186 ) b + 12000 ( a - b ) = 0.7$$

Solve for a

$$a=\frac{441b}{100}+\frac{7}{120000}$$

Steps for Solving Linear Equation

Multiply -220 and 186 to get -40920.

$$-40920b+12000\left(a-b\right)=0.7$$

Use the distributive property to multiply 12000 by a-b.

$$-40920b+12000a-12000b=0.7$$

Combine -40920b and -12000b to get -52920b.

$$-52920b+12000a=0.7$$

Add 52920b to both sides.

$$12000a=0.7+52920b$$

The equation is in standard form.

$$12000a=52920b+0.7$$

Divide both sides by 12000.

$$\frac{12000a}{12000}=\frac{52920b+0.7}{12000}$$

Dividing by 12000 undoes the multiplication by 12000.

$$a=\frac{52920b+0.7}{12000}$$

Divide 0.7+52920b by 12000.

$$a=\frac{441b}{100}+\frac{7}{120000}$$

Solve for b

$$b=\frac{100a}{441}-\frac{1}{75600}$$

Steps for Solving Linear Equation

Multiply -220 and 186 to get -40920.

$$-40920b+12000\left(a-b\right)=0.7$$

Use the distributive property to multiply 12000 by a-b.

$$-40920b+12000a-12000b=0.7$$

Combine -40920b and -12000b to get -52920b.

$$-52920b+12000a=0.7$$

Subtract 12000a from both sides.

$$-52920b=0.7-12000a$$

Divide both sides by -52920.

$$\frac{-52920b}{-52920}=\frac{0.7-12000a}{-52920}$$

Dividing by -52920 undoes the multiplication by -52920.

$$b=\frac{0.7-12000a}{-52920}$$

Divide 0.7-12000a by -52920.

$$b=\frac{100a}{441}-\frac{1}{75600}$$