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
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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.
thank u but can u help me explain how so I can understand it
Sure! Do you have anything about it specifically you don't understand or the overall concept?
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the way u got ur 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.