Solve {l}{0x-2y=4}{y=5x+3}

$$\left\{ \begin{array} { l } { 0 x - 2 y = 4 } \\ { y = 5 x + 3 } \end{array} \right.$$

Solve for x, y

$$x=-1$$

$$y=-2$$

Solution Steps

Consider the first equation. Anything times zero gives zero.

$$0-2y=4$$

Anything plus zero gives itself.

$$-2y=4$$

Divide both sides by -2.

$$y=\frac{4}{-2}$$

Divide 4 by -2 to get -2.

$$y=-2$$

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

$$-2=5x+3$$

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

$$5x+3=-2$$

Subtract 3 from both sides.

$$5x=-2-3$$

Subtract 3 from -2 to get -5.

$$5x=-5$$

Divide both sides by 5.

$$x=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$x=-1$$

The system is now solved.

$$x=-1 y=-2$$