Question

\begin{aligned} &-5y=-5 \\\\ &7x+6y=7 \end{aligned}

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−5y=−5
7x+6y=7
​

Is (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis a solution of the system?

Answer 1

Answer: No, 7(5)+6(1)=41 and that doesn't match 7x+6y=7

Explanation:

Answer 2

(5,1) is not a solution of the above system of equations.

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

⇒
`x = (1)/(7)`

So, it clear from the solution of the above equations i.e. (
`(1)/(7), 1`), we can say that (5,1) is not a solution of the above system of equations. (Answer)