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18 votes
Solve the system of equatioins 2x+3y=40 and -2x+2y=20

User ABHIJEET KHIRE
by
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1 Answer

26 votes
26 votes

Answer:

x = 2 ; y = 12

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

User Sreekumar
by
2.9k points