-7x - 2y = -13\nx - 2y = 11

Explanation:

Step1: Subtract the two equations

We have the system of equations: $$-7x - 2y = -13$$ $$x - 2y = 11$$ Subtract the second equation from the first equation: $$(-7x - 2y)-(x - 2y)=-13 - 11$$ Simplify the left - hand side: $$-7x - 2y - x + 2y=-24$$ Combine like terms: $$-8x=-24$$

Step2: Solve for x

Divide both sides of the equation (-8x = - 24) by (-8): $$x=\frac{-24}{-8}=3$$

Step3: Substitute x into one of the equations

Substitute (x = 3) into the equation (x-2y = 11): $$3-2y = 11$$ Subtract 3 from both sides: $$-2y=11 - 3=8$$ Divide both sides by (-2): $$y=\frac{8}{-2}=-4$$

Answer:

The solution to the system of equations is (x = 3) and (y=-4)