Solve -3x/4=y/6

$$\frac{ -3x }{ 4 } = \frac{ y }{ 6 }$$

Solve for x

$$x=-\frac{2y}{9}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(-3\right)x=2y$$

Multiply 3 and -3 to get -9.

$$-9x=2y$$

Divide both sides by -9.

$$\frac{-9x}{-9}=\frac{2y}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$x=\frac{2y}{-9}$$

Divide 2y by -9.

$$x=-\frac{2y}{9}$$

Solve for y

$$y=-\frac{9x}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(-3\right)x=2y$$

Multiply 3 and -3 to get -9.

$$-9x=2y$$

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

$$2y=-9x$$

Divide both sides by 2.

$$\frac{2y}{2}=-\frac{9x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=-\frac{9x}{2}$$