Verified Answer :

anna031

-3x + 4y = -6

20x - 4y = 40
-----------------------
17x = 34

x = 2

5(2) - y = 10

10 - y = 10

y = 0

the correct answer is D. (2,0)

Answer with explanation:

The two equation in two variable are:

  –3 x + 4 y = –6

5 x – y = 10

Writing the equation in terms of Reduced row echelon form and then solving

\(\left[\begin{array}{ccc}-3&4&-6\\5&-1&10\end{array}\right]\\\\R_{2}\rightarrow 3R_{2}+5 R_{1}\\\\\left[\begin{array}{ccc}-3&4&-6\\0&17&0\end{array}\right]\\\\R_{1}\rightarrow -4R_{2}+17 R_{1}\\\\ \left[\begin{array}{ccc}-3&0&-6\\0&17&0\end{array}\right]\\\\ -3 x= -6\\\\x=\frac{-6}{-3}\\\\x=2\\\\ 17 y=0\\\\y=0\)

Option D: (2,0)

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