Solve by the substitution method?

Question

2x + 9y = 33
-2x + y = 17

Answer 1

2x+9y = 33 ---------------- (1)

-2x+y = 17 --------------- (2)

(1)+(2) ⇒2x+9y = 33

            - 2x+y   = 17

           _____________

               10y = 50

Apply division property, divide by 10 to each side.

                  y = 50/10

                  y = 5

Substitute the value of y in (1)

2x+9*5 = 33

2x+45 = 33

2x = 33-45

2x = -12

Apply division property,divide by2 to each side.

x =-12/2

x =  -6

solution x = -6, y = 5