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Solve the simultaneous equation: x+y=2 and 3x-2y=1

Solve the simultaneous equation: x+y=2 and 3x-2y=1
  • A.
    x=2 and y=1
  • B.
    x=1 and y=1
  • C.
    x=1 and y=2
  • D.
    x=-1 and y=1
Correct Answer: Option B
Explanation

x + y = 2 — eqn I
3x – 2y = 1 — eqn II
Multiply eqn by 2
2x + 2y = 2 — eqn III
Subtract eqn II from eqnI
5x = 5 => x = 1
Substitute 1 for x in eqn 1
1 + y = 2 => y = 1

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