Question

Solve the system of equations. Enter your answer as an ordered pair. 65x - 7y= 371 -11x + 7y = 7

Answer 1

Let:

`\begin{gathered} 65x-7y=371_{\text{ }}(1) \\ -11x+7y=7_{\text{ }}(2) \end{gathered}`

Using elimination method:

`\begin{gathered} (1)+(2) \\ 65x-11x-7y+7y=371+7 \\ 54x=378 \\ x=(378)/(54) \\ x=7 \end{gathered}`

replace the value of x into (2):

`\begin{gathered} -11(7)+7y=7 \\ -77+7y=7 \\ 7y=84 \\ y=(84)/(7) \\ y=12 \end{gathered}`

Answer:

`(7,12)`