Which statements are true about the ordered pair (−1, 5) and the system of equations?x+y= 4x-y=-6Select each correct answer.The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.The ordered pair (−1, 5) is a solution to the system because it makes both equations true.
Accepted Solution
A:
An ordered pair (x,y) is a solution to a system of equations if it makes all the equations true. Let's check whether (–1, 5) makes the equations true. Plugging –1 in the first equation for x and 5 in for y, we get –1 + 5 = 4: TRUE Plugging –1 in the second equation for x and 5 in for y, we get –1 – 5 = –6: TRUE
Since it makes both the equations true, it's a solution to the system of equations. So the answer choice is D, the 4th one.