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Question

If 1x+2y=4 and 3y-1x=11 then
(a) x = 2, y = 3 (b) x = − 2, y = 3 (c) x=-12,y=3 (d) x=-12,y=13

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Solution

The given system of equations is
1x+2y=4 .....i3y-1x=11 .....ii
Adding (i) and (ii), we get
2y+3y=155y=15y=515=13
Now, putting y=13 in (i), we have
1x+2×3=41x=4-6x=-12
Thus, x=-12,y=13.
Hence, the correct answer is option (d).

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