Solve {l}{x+y-y=1}{2x-y=-7}

$$\left. \begin{array} { l } { x + y - y = 1 } \\ { 2 x - y = - 7 } \end{array} \right.$$

Solve for x, y

$$x=1$$

$$y=9$$

Solution Steps

Consider the first equation. Combine y and -y to get 0.

$$x=1$$

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

$$2\times 1-y=-7$$

Multiply 2 and 1 to get 2.

$$2-y=-7$$

Subtract 2 from both sides.

$$-y=-7-2$$

Subtract 2 from -7 to get -9.

$$-y=-9$$

Divide both sides by -1.

$$y=\frac{-9}{-1}$$

Fraction \frac{-9}{-1} can be simplified to 9 by removing the negative sign from both the numerator and the denominator.

$$y=9$$

The system is now solved.

$$x=1 y=9$$