Question

Determine whether (5,6) is the solution for y=x+1

Answer 1

$(5,6)$

$x=5 \\ y=6$

$y=x+1$

$(6)=(5)+1$

$6=6$

$true$

Answer 2

Has your class not learned how to check an answer to see if it's correct ? ! ?

Your equation is [ y = x + 1 ].
You want to know whether (5, 6) is A solution to the equation.

When you write (5, 6), that means "x=5 and y=6".
So put those numbers into the equation in place of 'x' and 'y'
and see if the equation is true after you do that.

(y) = (x) + 1

(6) = (5) + 1

Do you see 5+1 on the right side.  That's 6.
So the equation says " 6 = 6 " . . . a true statement.
So (5, 6) is a solution of the equation.

It's not THE solution.  There are an infinite number of solutions
to that equation.  (5, 6) is one of them.