Solve 2/2x=5/2y+7/2

$$\frac{ 2 }{ 2 } x= \frac{ 5 }{ 2 } y+ \frac{ 7 }{ 2 }$$

Solve for x

$$x=\frac{5y+7}{2}$$

Solution Steps

Divide 2 by 2 to get 1.

$$1x=\frac{5}{2}y+\frac{7}{2}$$

Reorder the terms.

$$x=\frac{5}{2}y+\frac{7}{2}$$

Solve for y

$$y=\frac{2x-7}{5}$$

Steps for Solving Linear Equation

Divide 2 by 2 to get 1.

$$1x=\frac{5}{2}y+\frac{7}{2}$$

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

$$\frac{5}{2}y+\frac{7}{2}=1x$$

Subtract \frac{7}{2} from both sides.

$$\frac{5}{2}y=1x-\frac{7}{2}$$

Reorder the terms.

$$\frac{5}{2}y=x-\frac{7}{2}$$

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

$$\frac{\frac{5}{2}y}{\frac{5}{2}}=\frac{x-\frac{7}{2}}{\frac{5}{2}}$$

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

$$y=\frac{x-\frac{7}{2}}{\frac{5}{2}}$$

Divide x-\frac{7}{2} by \frac{5}{2} by multiplying x-\frac{7}{2} by the reciprocal of \frac{5}{2}.

$$y=\frac{2x-7}{5}$$