Solve T2=6a-b+9b+3

$$T 2 = 6 a - b + 9 b + 3$$

Solve for a

$$a=\frac{T_{2}-8b-3}{6}$$

Steps for Solving Linear Equation

Combine -b and 9b to get 8b.

$$T_{2}=6a+8b+3$$

Swap sides so that all variable terms are on the left hand side.

$$6a+8b+3=T_{2}$$

Subtract 8b from both sides.

$$6a+3=T_{2}-8b$$

Subtract 3 from both sides.

$$6a=T_{2}-8b-3$$

Divide both sides by 6.

$$\frac{6a}{6}=\frac{T_{2}-8b-3}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$a=\frac{T_{2}-8b-3}{6}$$

Divide T_{2}-8b-3 by 6.

$$a=\frac{T_{2}}{6}-\frac{4b}{3}-\frac{1}{2}$$

Solve for T_2

$$T_{2}=6a+8b+3$$

Solution Steps

Combine -b and 9b to get 8b.

$$T_{2}=6a+8b+3$$