Solve x/26-y=1500/13

$$\frac{ x }{ 26 } -y= \frac{ 1500 }{ 13 }$$

Solve for x

$$x=26y+3000$$

Solution Steps

Multiply both sides of the equation by 26, the least common multiple of 26,13.

$$x-26y=3000$$

Add 26y to both sides.

$$x=3000+26y$$

Solve for y

$$y=\frac{x-3000}{26}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 26,13.

$$x-26y=3000$$

Subtract x from both sides.

$$-26y=3000-x$$

Divide both sides by -26.

$$\frac{-26y}{-26}=\frac{3000-x}{-26}$$

Dividing by -26 undoes the multiplication by -26.

$$y=\frac{3000-x}{-26}$$

Divide 3000-x by -26.

$$y=\frac{x}{26}-\frac{1500}{13}$$