Question

solve the system using multiplication for the linear combination method
6x-3y=3
-2x+6y=14
what is the solution system?

A.) (2,1)

B.) (2,-3)

C.) (2,-1)

D.) (2,3)

Answer 1

thank you

Answer 2

\[6x – 3y = 3\]
\[–2x + 6y = 14\]

\[6x – 3y = 3\]
\[–6x + 18y = 42\]

\[-3y + 18y = 3 + 42\]
\[15y = 45\]
\[y = 45/15\]
\[y = 3\]

\[6x – 3y = 3\]
\[6x - 3 * 3 = 3\]
\[6x = 3 + 9\]
\[6x = 12\]
\[x = 12/6\]
\[x = 2\]

Therefore, the correct answer should be, \[(x, y) = (2, 3)\]