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
Correct Answer: B. x=1 and y=1
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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