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Answer:
x = 2 ; y = 12
Step-by-step explanation:
2x + 3y = 40
+ -2x +2y = 20
You solve for one of the variables by cancelling out one and making one the subject.
2x + 3y = 40.
+ -2x +2y = 20
5y = 60
5y/5 = 60/5
y = 12
Next, you solve for X by replacing the value of y in any of the equations.
2x + 3y = 40
2x + 3(12) = 40
2x + 36 = 40
2x = 40 - 36
2x = 4
2x/2 = 4/2
x = 2
To prove the equations are set, replace the values of X and Y in one of the equations.
2x + 3y = 40
2(2) + 3(12) = 40
4 + 36 = 40
40 = 40