Solve {l}{2-y=-24}{2x-y=14}

$$\left. \begin{array} { l } { 2 - y = - 24 } \\ { 2 x - y = 14 } \end{array} \right.$$

Solve for y, x

$$x=20$$

$$y=26$$

Solution Steps

Consider the first equation. Subtract 2 from both sides.

$$-y=-24-2$$

Subtract 2 from -24 to get -26.

$$-y=-26$$

Divide both sides by -1.

$$y=\frac{-26}{-1}$$

Fraction \frac{-26}{-1} can be simplified to 26 by removing the negative sign from both the numerator and the denominator.

$$y=26$$

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

$$2x-26=14$$

Add 26 to both sides.

$$2x=14+26$$

Add 14 and 26 to get 40.

$$2x=40$$

Divide both sides by 2.

$$x=\frac{40}{2}$$

Divide 40 by 2 to get 20.

$$x=20$$

The system is now solved.

$$y=26 x=20$$