Solve g=5e+4f/3

$$g = \frac { 5 e + 4 f } { 3 }$$

Solve for f

$$f=\frac{3g-5e}{4}$$

Steps for Solving Linear Equation

Divide each term of 5e+4f by 3 to get \frac{5}{3}e+\frac{4}{3}f.

$$g=\frac{5}{3}e+\frac{4}{3}f$$

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

$$\frac{5}{3}e+\frac{4}{3}f=g$$

Subtract \frac{5}{3}e from both sides.

$$\frac{4}{3}f=g-\frac{5}{3}e$$

The equation is in standard form.

$$\frac{4}{3}f=g-\frac{5e}{3}$$

Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{3}f}{\frac{4}{3}}=\frac{g-\frac{5e}{3}}{\frac{4}{3}}$$

Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.

$$f=\frac{g-\frac{5e}{3}}{\frac{4}{3}}$$

Divide g-\frac{5e}{3} by \frac{4}{3} by multiplying g-\frac{5e}{3} by the reciprocal of \frac{4}{3}.

$$f=\frac{3g-5e}{4}$$

Solve for g

$$g=\frac{4f+5e}{3}$$

Solution Steps

Divide each term of 5e+4f by 3 to get \frac{5}{3}e+\frac{4}{3}f.

$$g=\frac{5}{3}e+\frac{4}{3}f$$