3x–4y=115x–6y=72 In the above equations which of the fo
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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.
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Right Answer is: C
SOLUTION
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