Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the
FURTHER MATHEMATICS
WAEC 2020
Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).
- A. 5
- B. 3
- C. - 3
- D. - 5
Correct Answer: D. - 5
Explanation
2x + 3y = 10 .......x2
3x - 2y = -11 ........x3
4x + 6y = 20
9x - 6y = -33
\(\overline{\frac{13x}{13} = \frac{-13}{13}}\), x = 1
from
2x + 3y = 10
2(-1) + 3y = 10
-2 + 3y = 10
3y = 10 + 2
\(\frac{3y}{3} = \frac{12}{3}\), y = 4
x - y = -1 - 4
= -5
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