Solve y=-5+3x/4

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

Solve for x

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

Steps for Solving Linear Equation

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

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

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

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

Add \frac{5}{4} to both sides.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

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

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