Question

Solve the linear system using the elimination method. Type youranswer as an ordered pair in the form (#,#).5x + 7y = 3311x + 7y = 39

Answer 1

`\begin{gathered} 5x+7y=33\ldots(1) \\ 11x+7y=39 \\ 7y=39-11x\ldots(2) \\ \text{Substitute the value of equation (2) in the equation (1).} \\ 5x+39-11x=33 \\ -6x=-6 \\ x=1 \\ \text{Substitute the value of x=1 in the equation (2) as follows:} \\ 7y=39-11*1 \\ y=(39-11)/(7) \\ y=4 \\ So,\text{ the ordered pair is}\Rightarrow(1,4) \end{gathered}`