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

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

Solve for x, y

$$x=2$$

$$y=-\frac{t_{1744830465}}{2}-3$$

Solution Steps

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

$$-x=-2$$

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.

$$0=2y-2+6$$

Add -2 and 6 to get 4.

$$0=2y+4$$

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

$$2y+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$2y=-4$$

Divide both sides by 2.

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

Divide -4 by 2 to get -2.

$$y=-2$$

The system is now solved.

$$x=2 y=-2$$