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

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

Solve for x, y

$$x=1$$

$$y=2$$

Solution Steps

Consider the second equation. Divide both sides by 2.

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

Divide 2 by 2 to get 1.

$$x=1$$

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

$$2\times 1=4-y$$

Multiply 2 and 1 to get 2.

$$2=4-y$$

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

$$4-y=2$$

Subtract 4 from both sides.

$$-y=2-4$$

Subtract 4 from 2 to get -2.

$$-y=-2$$

Divide both sides by -1.

$$y=\frac{-2}{-1}$$

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

$$y=2$$

The system is now solved.

$$x=1 y=2$$