Two lines, C and D, are represented by the following equations:

Line C: y = x + 5
Line D: y = −2x − 1

Which of the following options shows the solution to the system of equations and explains why?
(−2, 3), because the point does not lie on any axis

(−2, 3), because both lines pass through this point

(−2, 3), because one of the lines passes through this point

(−2, 3), because the point lies between the two axes

Question

Two lines, C and D, are represented by the following equations:

Line C: y = x + 5 
Line D: y = −2x − 1

Which of the following options shows the solution to the system of equations and explains why?
 (−2, 3), because the point does not lie on any axis

(−2, 3), because both lines pass through this point

(−2, 3), because one of the lines passes through this point

(−2, 3), because the point lies between the two axes

ayeedomo · Answer

B. There is one solution to both of the equations and the one that matches both(in this case, -2, 3) is the point that they both intersect each other.

anonymous · Answer

thank u but can u help me explain how so I can understand it

ayeedomo · Answer

Sure! Do you have anything about it specifically you don't understand or the overall concept?

anonymous · Answer

the way u got ur answer

ayeedomo · Answer

Okay, so if you have a set of equations, and the problem asks you to find the 'solution', that means that the want you to find at which point the lines intersect.|dw:1433952549376:dw| For this specific question, it's asking you to name the solution and why that number is correct. There are no other coordinates other than (-2, 3), so all you figure out is WHY it is the answer. Since (-2, 3) can only be the solution to BOTH equations only if it is the intersecting point, the answer is b.