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Question

Solve the following pair of linear (simultaneous) equations by the method of elimination :
x+y=7
5x+12y=7

A
x=11 and y=4
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B
x=1 and y=7
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C
x=13 and y=6
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D
x=1 and y=3
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Solution

The correct option is A x=11 and y=4
x+y=7 .... (1)
5x+12y=7 ....(2)

Multiply eq. (1) by 5, we get
5x+5y=35 ....(3)

Subtracting eq(2) from eq.(3)
5x+5y=35
5x+12y=7
---------------------
7y=28
y=4

Substituting value of y in eq,(1), we get,
x4=7
x=11

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