decided whether the given ordered pair i a solution of the given system (-3,-2) 3x+5y=-19 and 4x+2y=16
To determine whether the ordered pair (-3, -2) is a solution of the given system, substitute the values for x and y into each equation and check if both equations are satisfied.
1. 3x + 5y = -19
Substituting x = -3 and y = -2:
3(-3) + 5(-2) = -19
-9 - 10 = -19
-19 = -19
This equation is satisfied.
2. 4x + 2y = 16
Substituting x = -3 and y = -2:
4(-3) + 2(-2) = 16
-12 - 4 = 16
-16 = 16
This equation is not satisfied.
Since the ordered pair (-3, -2) does not satisfy the second equation, it is not a solution of the given system.