Question

PLEASE HELP!! :))

System A:

4x + 16y = 12

x +2y = -9


System B:

4x + 16y = 12

x + 4y = 3


1) How can we get System B from System A?


Choose 1 answer:


A. Replace one equation with a multiple of the other equation


B. Replace one equation with a multiple of itself


C. Swap the left-hand sides of both equations


D. Swap the order of the equations


2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?


Choose 1 answer:


A. Yes


B. No

Answer 1

To get System B from System A, you can replace one equation with a multiple of the other equation. Specifically, you can multiply the second equation of System A by 2 and then replace the first equation with the result. So the correct answer is A.

Since we obtained System B by performing a valid operation on System A, the two systems are equivalent and have the same solution. So the correct answer is A. Yes, they have the same solution