Solve 7a+b=6a-b

$$7 a + b = 6 a - b$$

Solve for a

$$a=-2b$$

Solution Steps

Subtract 6a from both sides.

$$7a+b-6a=-b$$

Combine 7a and -6a to get a.

$$a+b=-b$$

Subtract b from both sides.

$$a=-b-b$$

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

$$a=-2b$$

Solve for b

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

Steps for Solving Linear Equation

Add b to both sides.

$$7a+b+b=6a$$

Combine b and b to get 2b.

$$7a+2b=6a$$

Subtract 7a from both sides.

$$2b=6a-7a$$

Combine 6a and -7a to get -a.

$$2b=-a$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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