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Question

3x4y=1...(1)
5x6y=7...(2)
In the above equations, which of the following step can to be done to numerically equate the coefficients of x?


A

Multiply equation (1) by 6 and equation (2) by 4.

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B

Multiply equation (1) by 3 and equation (2) by 5.

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C

Multiply equation (1) by 5 and equation (2) by 3.

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D

Multiply equation (1) by 4 and equation (2) by 6.

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Solution

The correct option is C

Multiply equation (1) by 5 and equation (2) by 3.


Coefficient of x in equation (1) is 3.

Coefficient of x in equation (2) is 5.

So, to make coefficients of x equal, multiply equation (1) by 5 and equation (2) by 3.

Equation (1) × 5 15x20y=5

Equation (2) × 3 15x18y=21


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