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Question

If 3x4y=1 and 5x6y=7, then match the following.

A
8
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B
11
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C
19
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Solution

Given,
3x4y=1...(i)
5x6y=7...(ii)

To make the coefficients of x equal, multiply equation (1) by 5 and equation (2) by 3.

Equation(1)×515x20y=5...(iii)

Equation(2)×315x18y=21...(iv)

(iv) - (iii)
2y=215=16
y=8

Substitute the value of y in (i) 3x4×8=1
3x=33x=11

x+y=11+8=19

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