Question

Medal + Fan . Please Help.

Posted Below.

Answer 1

Please Help @reid8470

Answer 2

Remember what a system of 2 linear equations is: 2 lines that intersect at exactly one point (assuming there is only 1 solution). So an ordered pair that is a solution to the SYSTEM is on BOTH lines - that is, it is the point of intersection. Either line has infinitely many points on it, but only ONE point is on BOTH lines, and that makes it the solution to the system.

So with all that in mind - what do you think the correct answer is?

Answer 3

I'd Guess A But Not 100% Sure ? @DebbieG

Answer 4

If you only substitute the point into EITHER equation, and verify that you get a true statement, then you have only confirmed that the point is on ONE of the 2 lines. In order for an ordered pair to be a solution to the SYSTEM it has to be on BOTH of the 2 lines, not just 1. So no, not A.

Answer 5

So Maybe C? @DebbieG

Answer 6

Actually ... Well ... @DebbieG

Answer 7

C says to check the point in the FIRST EQUATION. That will only verify that the point is on THAT LINE. Not that the point is on BOTH LINES.

You have TWO equations for lines. You have a POINT that you want to verify is on BOTH LINES. So you have to check that the (x,y) coordinates of the point satisfy BOTH EQUATIONS. So you check the ordered pair in BOTH. None of the other choices guarantee that the point is on BOTH LINES, and hence, is a solution to the SYSTEM.

Understand that any point on a line is a solution to the (single) equation for that line. But the solution to the SYSTEM has to be on BOTH LINES.