Solve 2y_{1}=2x*120+5*20/60x+200=

$$2 y _ { 1 } = 2 x \cdot 120 + \frac { 5 \times 20 } { 60 } x + 200 =$$

Solve for x

$$x=\frac{6\left(y_{1}-100\right)}{725}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60.

$$120y_{1}=120x\times 120+5\times 20x+12000$$

Multiply 120 and 120 to get 14400.

$$120y_{1}=14400x+5\times 20x+12000$$

Multiply 5 and 20 to get 100.

$$120y_{1}=14400x+100x+12000$$

Combine 14400x and 100x to get 14500x.

$$120y_{1}=14500x+12000$$

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

$$14500x+12000=120y_{1}$$

Subtract 12000 from both sides.

$$14500x=120y_{1}-12000$$

Divide both sides by 14500.

$$\frac{14500x}{14500}=\frac{120y_{1}-12000}{14500}$$

Dividing by 14500 undoes the multiplication by 14500.

$$x=\frac{120y_{1}-12000}{14500}$$

Divide -12000+120y_{1} by 14500.

$$x=\frac{6y_{1}}{725}-\frac{24}{29}$$

Solve for y_1

$$y_{1}=\frac{725x}{6}+100$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60.

$$120y_{1}=120x\times 120+5\times 20x+12000$$

Multiply 120 and 120 to get 14400.

$$120y_{1}=14400x+5\times 20x+12000$$

Multiply 5 and 20 to get 100.

$$120y_{1}=14400x+100x+12000$$

Combine 14400x and 100x to get 14500x.

$$120y_{1}=14500x+12000$$

Divide both sides by 120.

$$\frac{120y_{1}}{120}=\frac{14500x+12000}{120}$$

Dividing by 120 undoes the multiplication by 120.

$$y_{1}=\frac{14500x+12000}{120}$$

Divide 14500x+12000 by 120.

$$y_{1}=\frac{725x}{6}+100$$