Is (


7,

2) a solution to this system of equations?
3x–11y=1
3x–14y=7

1 answer

To determine if (–7, –2) is a solution to the system of equations, we substitute x = -7 and y = -2 into the equations and see if both equations are satisfied.

1. 3x - 11y = 1
3(-7) - 11(-2) = 1
-21 + 22 = 1
1 = 1

2. 3x - 14y = 7
3(-7) - 14(-2) = 7
-21 + 28 = 7
7 = 7

Since both equations are satisfied when x = -7 and y = -2, we can conclude that (-7, -2) is a solution to the system of equations.