Question

# 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
B
Multiply equation (1) by 3 and equation (2) by 5
C
Multiply equation (1) by 5 and equation (2) by 3
D
Multiply equation (1) by 8 and equation (2) by 3

Solution

## The correct option is C Multiply equation (1) by 5 and equation (2) by 3Given 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. Equation (1) ×5⇒15x–20y=5 Equation (2) ×3⇒15x–18y=21  Mathematics

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