How to solve y=-(3)/(4)x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve y=-(3)/(4)x | Equatix

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

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

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

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

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

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

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

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

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

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

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