Solve 25/4quad(g)7m+19/2=13

$$\frac { 25 } { 4 } \quad ( g ) 7 m + \frac { 19 } { 2 } = 13$$

Solve for g

$$g=\frac{2}{25m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply \frac{25}{4} and 7 to get \frac{175}{4}.

$$\frac{175}{4}gm+\frac{19}{2}=13$$

Subtract \frac{19}{2} from both sides.

$$\frac{175}{4}gm=13-\frac{19}{2}$$

Subtract \frac{19}{2} from 13 to get \frac{7}{2}.

$$\frac{175}{4}gm=\frac{7}{2}$$

The equation is in standard form.

$$\frac{175m}{4}g=\frac{7}{2}$$

Divide both sides by \frac{175}{4}m.

$$\frac{4\times \frac{175m}{4}g}{175m}=\frac{\frac{7}{2}\times 4}{175m}$$

Dividing by \frac{175}{4}m undoes the multiplication by \frac{175}{4}m.

$$g=\frac{\frac{7}{2}\times 4}{175m}$$

Divide \frac{7}{2} by \frac{175}{4}m.

$$g=\frac{2}{25m}$$

Solve for m

$$m=\frac{2}{25g}$$

$$g\neq 0$$

Steps for Solving Linear Equation

Multiply \frac{25}{4} and 7 to get \frac{175}{4}.

$$\frac{175}{4}gm+\frac{19}{2}=13$$

Subtract \frac{19}{2} from both sides.

$$\frac{175}{4}gm=13-\frac{19}{2}$$

Subtract \frac{19}{2} from 13 to get \frac{7}{2}.

$$\frac{175}{4}gm=\frac{7}{2}$$

The equation is in standard form.

$$\frac{175g}{4}m=\frac{7}{2}$$

Divide both sides by \frac{175}{4}g.

$$\frac{4\times \frac{175g}{4}m}{175g}=\frac{\frac{7}{2}\times 4}{175g}$$

Dividing by \frac{175}{4}g undoes the multiplication by \frac{175}{4}g.

$$m=\frac{\frac{7}{2}\times 4}{175g}$$

Divide \frac{7}{2} by \frac{175}{4}g.

$$m=\frac{2}{25g}$$