Solve {l}{0x+2y=6}{2x-0y=4?}

$$\left\{ \begin{array} { l } { 0 x + 2 y = 6 } \\ { 2 x - 0 y = 4 ? } \end{array} \right.$$

Solve for x, y

$$x=2$$

$$y=3$$

Solution Steps

Consider the first equation. Anything times zero gives zero.

$$0+2y=6$$

Anything plus zero gives itself.

$$2y=6$$

Divide both sides by 2.

$$y=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$y=3$$

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

$$2x-0\times 3=4$$

Multiply 0 and 3 to get 0.

$$2x-0=4$$

Add 0 to both sides.

$$2x=4+0$$

Add 4 and 0 to get 4.

$$2x=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$

The system is now solved.

$$x=2 y=3$$