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Question

We have two equations
3x4y=1 ---------- (1)
5x6y=7 ---------- (2)
In the above equations, what operation should be carried out to make the coefficients of x equal?


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 8 and equation (2) by 3
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Solution

The correct option is C Multiply equation (1) by 5 and equation (2) by 3
Given that, 
3x4y=1 ---------- (1)
5x6y=7 ---------- (2)
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
 

Mathematics

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