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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
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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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