Question 148510
1. Solve by the elimination method
7r - 4s = 24
4r + 7s = 88
What is the solution of the system???


First of all, you have to make something that you can eliminate.  Multiply the second equation by 7/4.


7r - 4s = 24
7r + 49/4s = 154


Now subtract the second equation from the first and get

33/4s=154


Mulitply both sides by 4/33

s=616/33
or 18.666666


Plug that back into the first equation and get


7r - 4(616/33) = 24
or 7r-74.666664=24


Add 74.666664 to both sides and get
7r=98.666667


Divide both sides by 7 and get
r=14.095237
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2. Solve 8x - (6x + 6) =8
The solution is x=??


8x-(6x+6)=8
8x-(6x+6)=8x-6x-6


So 8x-6x-6=8


Combine like terms
2x-6=8


Add 6 to both sides
2x=14


Divide both sides by 2
x=7