Question

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

Answer 1

Choose the equivalent system of linear equations that will produce the same solution as the one given below.
4x - y = -11

2x + 3y = 5 (1 point)

Question 5 options:
1) -4x - 9y = -19
-10y = -30
2) 4x + 3y = 5
2y = -6
3) 7x - 3y = -11
9x = -6
4) 12x - 3y = -33
14x = -28
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Answer 2

The solutions for your solution are x = -2 and y = 3. We need to find out now which of your other systems give that same set of coordinates. Easy way to do that is to just plug in a -2 for x in one and see if it makes the equation true. If it doesn't move on to the next set. If it does, then you have to try the y value and make sure that one is true, also.

Answer 3

-4(-2)-9(3)=-19?
8-27=-19? yes it does. So it works here. Let's try the other equation with this one.
-10(3)=-30? yes it does. So this is the other system with the solutions of x = -2 and y = 3.

Answer 4

4(-2)+3(3)=5?
-8+9=5? no so it's not that one
(i'm just going through to make sure there are not 2 sets of systems with the same solution set)

Answer 5

7(-2)-3(3)=-11?
-14-9=-11? no

Answer 6

12(-2)-3(3)=-33?
-24-9=-33 yes
so let's try the other equation with this one.
14(-2)=-28
-28=-28 yes.

Answer 7

So your answers are A and D.