Question

Solve the following systems of equations :
99x + 101y = 499
101x + 99y = 501

Answer 1

Answer:

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Answer 2

x = 3, y = 2

Step-by-step explanation:

Given linear equations are:

99x + 101y = 499-------------(1)

101x + 99y = 501-------------(2)

Adding (1) and (2), we get: 200x + 200y = 1000

Dividing by 200, we get x + y = 5 -------------(3)

Substracting (1) from (2), we get 2x - 2y = 2

Dividing by 2, we get x - y = 1 -------------(4)

Adding 3 & 4, we get 2x = 6, meaning x = 3.

Substituting x = 3 in equation 3, we get 3 + y = 5

Therefore y = 2

Hence solved. x = 3, y = 2