Solve 42.5/870+G=11/100

$$\frac { 42.5 } { 870 + G } = \frac { 11 } { 100 }$$

Solve for G

$$G = -\frac{5320}{11} = -483\frac{7}{11} \approx -483.636363636$$

Steps for Solving Linear Equation

Variable G cannot be equal to -870 since division by zero is not defined. Multiply both sides of the equation by 100\left(G+870\right), the least common multiple of 870+G,100.

$$100\times 42.5=11\left(G+870\right)$$

Multiply 100 and 42.5 to get 4250.

$$4250=11\left(G+870\right)$$

Use the distributive property to multiply 11 by G+870.

$$4250=11G+9570$$

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

$$11G+9570=4250$$

Subtract 9570 from both sides.

$$11G=4250-9570$$

Subtract 9570 from 4250 to get -5320.

$$11G=-5320$$

Divide both sides by 11.

$$G=\frac{-5320}{11}$$

Fraction \frac{-5320}{11} can be rewritten as -\frac{5320}{11} by extracting the negative sign.

$$G=-\frac{5320}{11}$$