7r-4s=-7 (7)

4r+7s=61 (4)

49r - 28s = -49
16r + 28s = 244
---------------
65r = 195
195/65 = 3 (simplified) (3, is the first number of the ordered pair.)

Now this is the part that I get lost on. I know I am suppose to substitute 3 into one of the equations above, but how do I determine which one. So if I substitute 3 into the 1st equation:

7(3)-4s= -7
21 - 4s= -7
------------
21 = -7 would my answer be -7/21

Substitute 3 into the 2nd equation:

4(3)+7s = 61
12 + 7s = 61
-------------
12 = 61 would my answer be 61/12

(3, is the first number of the ordered pair.)

(3,-7/21) or (3,61/12) which ordered pair is correct?

After re-working the problem, I'm pretty confident this is the correct answer to the 2nd part of the problem. Can someone confirm my work....

Now this is the part that I get lost on. I know I am suppose to substitute 3 into one of the equations above, but how do I determine which one. So if I substitute 3 into the 1st equation:

7(3)-4s= -7
21 - 4s= -7
------------
21 = -7 would my answer be -7/21

To determine which equation to substitute the value of 3 into, you need to consider the coefficients of the variables. In this case, looking at the coefficients 7 and 4 in the first equation and 4 and 7 in the second equation, you can see that the coefficients in the second equation have smaller values and therefore might be easier to work with.

Let's substitute 3 into the second equation:

4r + 7s = 61
4(3) + 7s = 61
12 + 7s = 61

Now you can solve for s:

7s = 61 - 12
7s = 49
s = 49/7
s = 7

So the ordered pair is (3, 7).

It seems there was a mistake in your calculations when substituting 3 into the second equation; it should be 49/7, not 61/12.

Therefore, the correct ordered pair is (3, 7).