If 3x - 2y = - 5 and x + 2y = 9, find the value of \;x - y/x + y

Correct Answer is : −35\;-3/55−3

Correct Answer is : −35\;-3/55−3

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WAEC Mathematics 2024 Paper

Question : 12

Total: 50

\;\frac{x - y}{x + y}

Solution:

Concept:

Solve the pair of linear equations using elimination, then substitute the values into the given expression.

Explanation:

Add the two equations to eliminate

y

(3x - 2y) + (x + 2y) = -5 + 9

4x = 4

x = 1

Substitute

x = 1

into

x + 2y = 9

1 + 2y = 9

2y = 8

y = 4

Now evaluate

\frac{x - y}{x + y}

\frac{x - y}{x + y} = \frac{1 - 4}{1 + 4}

= \frac{-3}{5}

Answer:

\frac{-3}{5}

Therefore, the correct option is C.

\;\frac{-3}{5}

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