Question

Is (5,50) a solution to the linear system y = 5x + 25 and y = 3x + 35? Explain your reasoning.

Answer 1

No, because it is not a solution to the linear system shown above

Answer 2

$y = 5x +25~~~~~~~~~~~~~~...(i)\\\\y = 3x +35~~~~~~~~~~~~~~...(ii)\\\\ \text{Substitute (x,y) = (5,50) in both equations.} \\\\y = 5(5) +25 = 25 +25 = 50\\\\y =3(5) +35 = 15 +35 = 50\\\\\text{Hence, (5,50) is a solution to the linear system of equations.}$