Answer:
Step-by-step explanation:
Hi there! First of all I want to say, I do sometimes explain in details and a lot. But if anything I will explain it in the clearest and best way as possible. One more thing is I will have a picture attached! If you can't see it please let me know! So with that in mind, let us begin!
Now, the problem is to figure out which two of these possible system of equations have the coordinate point (-6, 2). A possible way to do this is by replacing "x" and "y" with -6 and 2. How about we do this with each possible equation one at a time.
Choice A:
2x - 3y = -6
2(-6) - 3(2) = -6
-12-6 = -6
-18 = -6
these two are not the same number.
Choice B:
4x - y = 26
4(-6) - (2) = 26
-24-2= 26
-26= 26
these two are not the same, even though they have the same numbers, the are opposite signs. Positive and Negative numbers are two different things.
Choice C:
3x + 2y = -14
3(-6) + 2(2) = -14
-18 + 4 = -14
-14 = -14
these two equal each other! So choice letter C is one of the equations that has (-6, 2)
Choice D:
x - y = -2
(-6) - (2) = -2
-6-2 = -2
-8 = -2
this equation doesn't not have the same result. So this is a no!
Choice E:
x + y = -4
(-6) + (2) = -4
-6+2= -4
-4= -4
these two are the exact same answers! So choice letter E is the second of the equation that has (-6, 2)!
I hope this answers you question, if not don't hesitate to ask any questions or leave a comment. Again, I have a picture attached with the work! I hope you have a nice day!
