We have two equations 3x–4y=1 ---------- (1) 5x–6y=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, 3x–4y=1 ---------- (1) 5x–6y=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.