Solve y=-5x-3/4

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

Solve for x

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

Steps for Solving Linear Equation

Divide each term of 5x-3 by 4 to get \frac{5}{4}x-\frac{3}{4}.

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

To find the opposite of \frac{5}{4}x-\frac{3}{4}, find the opposite of each term.

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

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

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

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

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

Divide both sides of the equation by -\frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by -\frac{5}{4} undoes the multiplication by -\frac{5}{4}.

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

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

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

Solve for y

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

Solution Steps

Divide each term of 5x-3 by 4 to get \frac{5}{4}x-\frac{3}{4}.

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

To find the opposite of \frac{5}{4}x-\frac{3}{4}, find the opposite of each term.

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