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

Mathematics
WAEC 2007

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
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Correct Answer: Option B
Explanation

x + y = 2 --- eqn I
3x - 2y = 1 --- eqn II
Multiply eqn I by 2
2x + 2y = 4 --- eqn III
add eqn II to eqn III
5x = 5 => x = 1
Substitute 1 for x in eqn I
1 + y = 2 => y = 1


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts