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01-02-2015
Mathematics

Answered

How many solutions are there to the following system of equations?

4x – 14y = 6

–2x + 7y = –3

A.

1

B.

2

C.

infinitely many

D.

0

Verified Answer :

01-02-2015

\(4x-14y=6 \\ -2x+7y=-3 \ \ \ |\times 2 \\ \\ 4x-14y=6 \\ \underline{-4x+14y=-6} \\ 4x-4x-14y+14y=6-6 \\ 0=0 \\ always \ true \\ \\ \boxed{\hbox{infinitely many solutions}} \Leftarrow \hbox{answer C}\)

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