Solve x-5/2y=4

$$x - \frac { 5 } { 2 } y = 4$$

Solve for y

$$y=\frac{2\left(x-4\right)}{5}$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$-\frac{5}{2}y=4-x$$

Divide both sides of the equation by -\frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{2}y}{-\frac{5}{2}}=\frac{4-x}{-\frac{5}{2}}$$

Dividing by -\frac{5}{2} undoes the multiplication by -\frac{5}{2}.

$$y=\frac{4-x}{-\frac{5}{2}}$$

Divide 4-x by -\frac{5}{2} by multiplying 4-x by the reciprocal of -\frac{5}{2}.

$$y=\frac{2x-8}{5}$$

Solve for x

$$x=\frac{5y}{2}+4$$

Solution Steps

Add \frac{5}{2}y to both sides.

$$x=4+\frac{5}{2}y$$