Solve 2y/60+x=100/100

$$\frac { 2 y } { 60 + x } = \frac { 100 } { 100 }$$

Solve for x

$$x=2\left(y-30\right)$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -60 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+60\right), the least common multiple of 60+x,100.

$$100\times 2y=\left(x+60\right)\times 100$$

Multiply 100 and 2 to get 200.

$$200y=\left(x+60\right)\times 100$$

Use the distributive property to multiply x+60 by 100.

$$200y=100x+6000$$

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

$$100x+6000=200y$$

Subtract 6000 from both sides.

$$100x=200y-6000$$

Divide both sides by 100.

$$\frac{100x}{100}=\frac{200y-6000}{100}$$

Dividing by 100 undoes the multiplication by 100.

$$x=\frac{200y-6000}{100}$$

Divide -6000+200y by 100.

$$x=2y-60$$

Variable x cannot be equal to -60.

$$x=2y-60\text{, }x\neq -60$$

Solve for y

$$y=\frac{x+60}{2}$$

$$x\neq -60$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100\left(x+60\right), the least common multiple of 60+x,100.

$$100\times 2y=\left(x+60\right)\times 100$$

Multiply 100 and 2 to get 200.

$$200y=\left(x+60\right)\times 100$$

Use the distributive property to multiply x+60 by 100.

$$200y=100x+6000$$

Divide both sides by 200.

$$\frac{200y}{200}=\frac{100x+6000}{200}$$

Dividing by 200 undoes the multiplication by 200.

$$y=\frac{100x+6000}{200}$$

Divide 6000+100x by 200.

$$y=\frac{x}{2}+30$$