Solve y=-3/4x+4

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

Solve for x

$$x=\frac{16-4y}{3}$$

Steps for Solving Linear Equation

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

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

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

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

Subtract 4 from both sides.

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

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

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

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

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

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

$$x=\frac{16-4y}{3}$$

Solve for y

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

Solution Steps

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

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