Question

# 3x–4y=1...(1) 5x–6y=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.

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 4 and equation (2) by 6.

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 ⇒15x–20y=5 Equation (2) × 3 ⇒15x–18y=21 Mathematics

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