Solve 3/4x-y=5

$$\frac { 3 } { 4 } x - y = 5$$

Solve for x

$$x=\frac{4\left(y+5\right)}{3}$$

Steps for Solving Linear Equation

Add y to both sides.

$$\frac{3}{4}x=5+y$$

The equation is in standard form.

$$\frac{3}{4}x=y+5$$

Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y+5}{\frac{3}{4}}$$

Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.

$$x=\frac{y+5}{\frac{3}{4}}$$

Divide 5+y by \frac{3}{4} by multiplying 5+y by the reciprocal of \frac{3}{4}.

$$x=\frac{4y+20}{3}$$

Solve for y

$$y=\frac{3x}{4}-5$$

Steps for Solving Linear Equation

Subtract \frac{3}{4}x from both sides.

$$-y=5-\frac{3}{4}x$$

The equation is in standard form.

$$-y=-\frac{3x}{4}+5$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-\frac{3x}{4}+5}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-\frac{3x}{4}+5}{-1}$$

Divide 5-\frac{3x}{4} by -1.

$$y=\frac{3x}{4}-5$$