SOLUTION: Solve by the elimination method. 7r-3s=3 3r+7s=51 I think there is no solution but I'm not sure if I'm correct.

Question 547239: Solve by the elimination method.
7r-3s=3
3r+7s=51
I think there is no solution but I'm not sure if I'm correct.
Found 2 solutions by mathie123, josmiceli:
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
There are a few ways to do this, depending on what variable you want to eliminate. Just to make it simple, I will eliminate my r.
(1)
(2)
I will multiply my equation (1) by 3 (the number in front of r in equation (2)), and my equation (2) by 7 (you guessed it.... the number in front of r in equation (1)). This leaves:
(3)
(4)
Now Subtracting equation (4) by equation (3) we get:

Now we can substitute this value of s into any of the equations (1)-(4). I will put it into equation (1).

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
Multiply both sides of (1) by
Multiply both sides of (2) by
Then add the equations
(1)
(2)

and, since
(1)
(1)
(1)
(1)
(1)
Check answers:
(2)
(2)
(2)
(2)
OK
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