Solve {l}{-2x=2}{5x^2-y=4}

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

Solve for x, y

$$x=-1$$

$$y=1$$

Solution Steps

Consider the first equation. Divide both sides by -2.

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

Divide 2 by -2 to get -1.

$$x=-1$$

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

$$5\left(-1\right)^{2}-y=4$$

Calculate -1 to the power of 2 and get 1.

$$5\times 1-y=4$$

Multiply 5 and 1 to get 5.

$$5-y=4$$

Subtract 5 from both sides.

$$-y=4-5$$

Subtract 5 from 4 to get -1.

$$-y=-1$$

Divide both sides by -1.

$$y=\frac{-1}{-1}$$

Divide -1 by -1 to get 1.

$$y=1$$

The system is now solved.

$$x=-1 y=1$$