Solve 2%x+y=6

$$2 \% x+y=6$$

Solve for x

$$x=300-50y$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}x+y=6$$

Subtract y from both sides.

$$\frac{1}{50}x=6-y$$

Multiply both sides by 50.

$$\frac{\frac{1}{50}x}{\frac{1}{50}}=\frac{6-y}{\frac{1}{50}}$$

Dividing by \frac{1}{50} undoes the multiplication by \frac{1}{50}.

$$x=\frac{6-y}{\frac{1}{50}}$$

Divide 6-y by \frac{1}{50} by multiplying 6-y by the reciprocal of \frac{1}{50}.

$$x=300-50y$$

Solve for y

$$y=-\frac{x}{50}+6$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}x+y=6$$

Subtract \frac{1}{50}x from both sides.

$$y=6-\frac{1}{50}x$$