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Question

Solve for x and y, if
i. 15x + 10y = 65
ii. 11x + 2y = 45

A

x = 4; y = 0.5
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B

x = 3; y = 6

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C

x = 3; y = 2
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D

x = 1; y = 5
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E
Cannot be determined
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Solution

The correct option is A
x = 4; y = 0.5
15 x +10y = 65 ...... (1)
11x + 2y = 45 ........ (2)
(1) × 11 - (2) × 15= (165x+11y) - (165x+30y) = 715-675
80y = 40 y = 0.5
Substituting value of y in either of the equations we get x = 4

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