Solve G=7.4b+8.1a/8

$$G = \frac{ 7.4b+8.1a }{ 8 }$$

Solve for a

$$a=\frac{80G-74b}{81}$$

Steps for Solving Linear Equation

Divide each term of 7.4b+8.1a by 8 to get 0.925b+1.0125a.

$$G=0.925b+1.0125a$$

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

$$0.925b+1.0125a=G$$

Subtract 0.925b from both sides.

$$1.0125a=G-0.925b$$

The equation is in standard form.

$$1.0125a=-\frac{37b}{40}+G$$

Divide both sides of the equation by 1.0125, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.0125a}{1.0125}=\frac{-\frac{37b}{40}+G}{1.0125}$$

Dividing by 1.0125 undoes the multiplication by 1.0125.

$$a=\frac{-\frac{37b}{40}+G}{1.0125}$$

Divide G-\frac{37b}{40} by 1.0125 by multiplying G-\frac{37b}{40} by the reciprocal of 1.0125.

$$a=\frac{80G-74b}{81}$$

Solve for G

$$G=\frac{37b}{40}+\frac{81a}{80}$$

Solution Steps

Divide each term of 7.4b+8.1a by 8 to get 0.925b+1.0125a.

$$G=0.925b+1.0125a$$