Q:

\begin{aligned} &-5y=-5 \\\\ &7x+6y=7 \end{aligned} ​ −5y=−57x+6y=7​ Is (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis a solution of the system?

Accepted Solution

A:
Answer:(5,1) is not a solution of the above system of equations. Step-by-step explanation:We are given a system of equations that are  - 5y = - 5 ......... (1) and  7x + 6y = 7 ........... (2) So, solving equation (1) we get y = 1 and putting y = 1 in the equation (2) we get 7x = 7 - 6(1) = 1 ⇒ [tex]x = \frac{1}{7}[/tex] So, it clear from the solution of the above equations i.e. ([tex]\frac{1}{7}, 1[/tex]), we can say that (5,1) is not a solution of the above system of equations. (Answer)