Question

Solve the system.

2x+5y=33
x-y=6

(x, y) =

Answer 1

y=3 x=9
multiply second equation by 2 and subtract simultaneously

Answer 2

2x+5y=33

(-y )+ x-y=6 +(-y ) use additive inverse of y

x=6+y
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V
2(6+y) + 5y = 33 substitute

12+2y + 5y = 33 simplify

(-12) + 12+7y = 33 + (-12) additive inverse of 12

1/7 [ 7y = 21 ] multiply by reciprocal of 7

y = 3

x= 6+ y use simplified equation

x = 6 + (3 ) substitute

x= 9

this is my best guess that this is correct