In Exercises 1–4, determine whether the given ordered pair is a solution of the system. (- 3, 5) 9x + 7y = 8 8x - 9y = - 69

Question

Ordered pair (-3, 5) with two linear equations for systems of equations exercise.

Accepted Answer

Hello. Today we're going to be figuring out whether the given ordered pair satisfies the system of equations shown below. So the given ordered pair is negative five comma one. And since the ordered pair is of the form X comma Y. This means that X is equal to negative five and Y is equal to one. Now in order to figure out whether this satisfies the system of equations or not, we need to go ahead and plug in these values to both of the equations shown below and in order for it to satisfy and needs to make both of the equations true. So let's go ahead and start with equation one, equation one is X plus three, Y is equal to negative two. X is just going to be negative five as given by the ordered pair and that's going to be plus three times y which is one which is should equal negative two now three times one is just going to give us three and negative five plus three is going to give us negative two and that is equal to negative two. So the given ordered pair satisfies the first equation. Now we need to go ahead and check equation two, equation two is two, X minus five. Y is equal to negative 15, plugging in X and y is going to give us two times negative five minus five times one and that should equal to negative 15. 2 times negative five is going to give us negative 10 and negative five times one is going to give us negative five, negative 10 minus five is going to give us negative 15 and that is equal to negative 15. So the ordered pair satisfies the second equation. And since the ordered pair satisfies both the 1st and 2nd equation, that means that the answer to this problem is going to be a. So I hope this video helps you in understanding how to determine whether an ordered pair satisfies the system of equations or not, and I'll go ahead and see you all in the next video.

In Exercises 1–4, determine whether the given ordered pair is a solution of the system. (- 3, 5) 9x + 7y = 8 8x - 9y = - 69

Verified Solution