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Question
Solve the following pair of equations algebraically:
101x + 102y = 304
102x + 101y = 305
Sum
Solution
Given data:
101x + 102y = 304
102x + 101y = 305
Multiply 101 in eqn. (1) & 102 in eqn (ii)
10201x + 10302y = 30704
10404x + 10302y = 31110
− + −
− 203x = − 406
⇒ x = 2
From eqn. (1)
101 × 2 + 102y = 304
⇒ 102y = 304 − 202
⇒ 102y = 102
⇒ y = 1
x = 2, y = 1
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