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Question

We have two equations
3x4y=1 ---------- (1)
5x6y=7 ---------- (2)
In the above equations, to eliminate the coefficients of x, what has to be done?


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

None

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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 x coefficients equal, multiply equation (1) by 5 and equation (2) by 3.
Equation(1)×515x20y=5
Equation(2)×315x18y=21


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