Solve 50+20*{frac{4-f_{1}+f_{2}}{120}}=50

$$50 + 20 \times \{ \frac { 4 - f _ { 1 } + f _ { 2 } } { 120 } \} = 50$$

Solve for f_1

$$f_{1}=f_{2}+4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 120.

$$6000+20\left(4-f_{1}+f_{2}\right)=6000$$

Use the distributive property to multiply 20 by 4-f_{1}+f_{2}.

$$6000+80-20f_{1}+20f_{2}=6000$$

Add 6000 and 80 to get 6080.

$$6080-20f_{1}+20f_{2}=6000$$

Subtract 6080 from both sides.

$$-20f_{1}+20f_{2}=6000-6080$$

Subtract 6080 from 6000 to get -80.

$$-20f_{1}+20f_{2}=-80$$

Subtract 20f_{2} from both sides.

$$-20f_{1}=-80-20f_{2}$$

The equation is in standard form.

$$-20f_{1}=-20f_{2}-80$$

Divide both sides by -20.

$$\frac{-20f_{1}}{-20}=\frac{-20f_{2}-80}{-20}$$

Dividing by -20 undoes the multiplication by -20.

$$f_{1}=\frac{-20f_{2}-80}{-20}$$

Divide -80-20f_{2} by -20.

$$f_{1}=f_{2}+4$$

Solve for f_2

$$f_{2}=f_{1}-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 120.

$$6000+20\left(4-f_{1}+f_{2}\right)=6000$$

Use the distributive property to multiply 20 by 4-f_{1}+f_{2}.

$$6000+80-20f_{1}+20f_{2}=6000$$

Add 6000 and 80 to get 6080.

$$6080-20f_{1}+20f_{2}=6000$$

Subtract 6080 from both sides.

$$-20f_{1}+20f_{2}=6000-6080$$

Subtract 6080 from 6000 to get -80.

$$-20f_{1}+20f_{2}=-80$$

Add 20f_{1} to both sides.

$$20f_{2}=-80+20f_{1}$$

The equation is in standard form.

$$20f_{2}=20f_{1}-80$$

Divide both sides by 20.

$$\frac{20f_{2}}{20}=\frac{20f_{1}-80}{20}$$

Dividing by 20 undoes the multiplication by 20.

$$f_{2}=\frac{20f_{1}-80}{20}$$

Divide -80+20f_{1} by 20.

$$f_{2}=f_{1}-4$$