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JAMB Mathematics 2016 Paper

Question : 40

Total: 50

6x - 4y = 12

Solution:

Concept:

Solving simultaneous linear equations using the elimination method.

Explanation:

Given the equations:

3x - 5y = 9 \quad \text{(1)}

6x - 4y = 12 \quad \text{(2)}

Multiply equation (1) by

2

so that both equations have the same coefficient of

x

6x - 10y = 18

Subtract equation (2) from this new equation:

(6x - 10y) - (6x - 4y) = 18 - 12

-6y = 6

y = -1

Substitute

y = -1

into equation (1):

3x - 5(-1) = 9

3x + 5 = 9

3x = 4

x = \frac{4}{3}

Answer:

x = \frac{4}{3}

and

y = -1

This matches option D.

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