Solve 4a+2b+c=16a-4b+c

$$4a+2b+c = 16a-4b+c$$

Solve for a

$$a=\frac{b}{2}$$

Steps for Solving Linear Equation

Subtract 16a from both sides.

$$4a+2b+c-16a=-4b+c$$

Combine 4a and -16a to get -12a.

$$-12a+2b+c=-4b+c$$

Subtract 2b from both sides.

$$-12a+c=-4b+c-2b$$

Combine -4b and -2b to get -6b.

$$-12a+c=-6b+c$$

Subtract c from both sides.

$$-12a=-6b+c-c$$

Combine c and -c to get 0.

$$-12a=-6b$$

Divide both sides by -12.

$$\frac{-12a}{-12}=-\frac{6b}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$a=-\frac{6b}{-12}$$

Divide -6b by -12.

$$a=\frac{b}{2}$$

Solve for b

$$b=2a$$

Steps for Solving Linear Equation

Add 4b to both sides.

$$4a+2b+c+4b=16a+c$$

Combine 2b and 4b to get 6b.

$$4a+6b+c=16a+c$$

Subtract 4a from both sides.

$$6b+c=16a+c-4a$$

Combine 16a and -4a to get 12a.

$$6b+c=12a+c$$

Subtract c from both sides.

$$6b=12a+c-c$$

Combine c and -c to get 0.

$$6b=12a$$

Divide both sides by 6.

$$\frac{6b}{6}=\frac{12a}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$b=\frac{12a}{6}$$

Divide 12a by 6.

$$b=2a$$