solve the following system of equations.\n8x + y = 21\n-11x - y = -27\nx = \n\ny = \n

Explanation:

Step1: Add the two equations

Add (8x + y=21) and (-11x - y=-27): ((8x + y)+(-11x - y)=21+( - 27)) (8x + y-11x - y=21 - 27) ((8x-11x)+(y - y)=-6) (-3x=-6)

Step2: Solve for x

Divide both sides of (-3x = - 6) by (-3): (x=\frac{-6}{-3}=2)

Step3: Substitute x into the first - equation

Substitute (x = 2) into (8x + y=21): (8\times2+y=21) (16 + y=21)

Step4: Solve for y

Subtract 16 from both sides of (16 + y=21): (y=21 - 16=5)

Answer:

(x = 2), (y = 5)