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WAEC Mathematics 2020 Paper

Question : 9

Total: 48

Solve 3x - 2y = 10 and x + 3y = 7 simultaneously

Solution:

Concept:

Use the elimination method to remove one variable and solve the two linear equations.

Explanation:

The given equations are:

3x - 2y = 10

x + 3y = 7

Multiply the first equation by

3

9x - 6y = 30

Multiply the second equation by

2

2x + 6y = 14

Add these two equations to eliminate

y

9x + 2x - 6y + 6y = 30 + 14

11x = 44

Divide both sides by

11

x = 4

Substitute

x = 4

into

x + 3y = 7

4 + 3y = 7

3y = 3

Divide both sides by

3

y = 1

Answer:

x = 4

and

y = 1

This matches option D.

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