decided whether the given ordered pair i a solution of the given system (1,-5) x+y=-4 and 5x+2y=11
To determine if the ordered pair (1, -5) is a solution of the system x+y=-4 and 5x+2y=11, we substitute the values of x and y from the ordered pair into both equations and check if the equations are true.
For the first equation x+y=-4, we plug in x=1 and y=-5:
1 + (-5) = -4
-4 = -4
The equation is true.
For the second equation 5x+2y=11, we plug in x=1 and y=-5:
5(1)+2(-5) = 11
5-10 = 11
-5 ≠ 11
The equation is false.
Since the ordered pair (1, -5) does not satisfy the second equation, it is not a solution to the given system.