Solve 3a+400b=24a+600b

$$3 a + 400 b = 24 a + 600 b$$

Solve for a

$$a=-\frac{200b}{21}$$

Steps for Solving Linear Equation

Subtract 24a from both sides.

$$3a+400b-24a=600b$$

Combine 3a and -24a to get -21a.

$$-21a+400b=600b$$

Subtract 400b from both sides.

$$-21a=600b-400b$$

Combine 600b and -400b to get 200b.

$$-21a=200b$$

Divide both sides by -21.

$$\frac{-21a}{-21}=\frac{200b}{-21}$$

Dividing by -21 undoes the multiplication by -21.

$$a=\frac{200b}{-21}$$

Divide 200b by -21.

$$a=-\frac{200b}{21}$$

Solve for b

$$b=-\frac{21a}{200}$$

Steps for Solving Linear Equation

Subtract 600b from both sides.

$$3a+400b-600b=24a$$

Combine 400b and -600b to get -200b.

$$3a-200b=24a$$

Subtract 3a from both sides.

$$-200b=24a-3a$$

Combine 24a and -3a to get 21a.

$$-200b=21a$$

Divide both sides by -200.

$$\frac{-200b}{-200}=\frac{21a}{-200}$$

Dividing by -200 undoes the multiplication by -200.

$$b=\frac{21a}{-200}$$

Divide 21a by -200.

$$b=-\frac{21a}{200}$$