Is (


3,8) a solution to this system of equations?
14x+7y=14
20x+10y=20

1 answer

To determine if (–3,8) is a solution to the system of equations, we need to substitute -3 for x and 8 for y in both equations and see if both equations are true.

For the first equation:
14(-3) + 7(8) = 14
-42 + 56 = 14
14 = 14 (True)

For the second equation:
20(-3) + 10(8) = 20
-60 + 80 = 20
20 = 20 (True)

Since both equations are true when x = -3 and y = 8, we can conclude that (-3,8) is a solution to the system of equations.