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WAEC Mathematics 2025 Paper

Question : 18

Total: 50

\frac{3}{2}

\frac{5}{2}

. And use your result to find the value of 2y + x.

Solution:

Concept:

Solve two linear equations by adding or subtracting to eliminate one variable, then substitute back.

Explanation:

Given:

x + y = \frac{3}{2}

x - y = \frac{5}{2}

Add both equations to eliminate

y

(x + y) + (x - y) = \frac{3}{2} + \frac{5}{2}

2x = \frac{8}{2} = 4

x = \frac{4}{2} = 2

Substitute

x = 2

into

x - y = \frac{5}{2}

2 - y = \frac{5}{2}

-y = \frac{5}{2} - 2 = \frac{5}{2} - \frac{4}{2} = \frac{1}{2}

y = -\frac{1}{2}

Now find

2y + x

2y + x = 2\left(-\frac{1}{2}\right) + 2

= -1 + 2 = 1

Answer:

2y + x = 1

So the correct option is C.

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