Solve -7/2x-3/4=y

$$- \frac { 7 } { 2 } x - \frac { 3 } { 4 } = y$$

Solve for x

$$x=-\frac{2y}{7}-\frac{3}{14}$$

Steps for Solving Linear Equation

Add \frac{3}{4} to both sides.

$$-\frac{7}{2}x=y+\frac{3}{4}$$

Divide both sides of the equation by -\frac{7}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{7}{2}x}{-\frac{7}{2}}=\frac{y+\frac{3}{4}}{-\frac{7}{2}}$$

Dividing by -\frac{7}{2} undoes the multiplication by -\frac{7}{2}.

$$x=\frac{y+\frac{3}{4}}{-\frac{7}{2}}$$

Divide y+\frac{3}{4} by -\frac{7}{2} by multiplying y+\frac{3}{4} by the reciprocal of -\frac{7}{2}.

$$x=-\frac{2y}{7}-\frac{3}{14}$$

Solve for y

$$y=-\frac{7x}{2}-\frac{3}{4}$$

Solution Steps

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

$$y=-\frac{7}{2}x-\frac{3}{4}$$