Solve -3y-9=0,4x+6y-18=0

$$- 3 y - 9 = 0,4 x + 6 y - 18 = 0$$

Solve for y, x

$$x=9$$

$$y=-3$$

Solution Steps

Consider the first equation. Add 9 to both sides. Anything plus zero gives itself.

$$-3y=9$$

Divide both sides by -3.

$$y=\frac{9}{-3}$$

Divide 9 by -3 to get -3.

$$y=-3$$

Consider the second equation. Insert the known values of variables into the equation.

$$4x+6\left(-3\right)-18=0$$

Multiply 6 and -3 to get -18.

$$4x-18-18=0$$

Subtract 18 from -18 to get -36.

$$4x-36=0$$

Add 36 to both sides. Anything plus zero gives itself.

$$4x=36$$

Divide both sides by 4.

$$x=\frac{36}{4}$$

Divide 36 by 4 to get 9.

$$x=9$$

The system is now solved.

$$y=-3 x=9$$