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

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

Solve for x, y

$$x=2$$

$$y=4$$

Solution Steps

Consider the first equation. Subtract 2x from both sides.

$$x-2x=-2$$

Combine x and -2x to get -x.

$$-x=-2$$

Divide both sides by -1.

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

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

$$x=2$$

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

$$y=2\times 2$$

Multiply 2 and 2 to get 4.

$$y=4$$

The system is now solved.

$$x=2 y=4$$