SOLUTION: ``Solve by using the elimination method.2r-9s=-109r+2s=40 What is the solution of the system ? Select the correct choice below and, if necessary, fill in the answer box to complete
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Question 294785: ``Solve by using the elimination method.2r-9s=-109r+2s=40 What is the solution of the system ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A) the solution is_______(type an ordered pair. use integers or fractions for any numbers in the expression.)B)There are infinitely number of solutions.C) There is no solution.
Please help me answe this. I am not coming up with the right answer!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
`Solve by using the elimination method.
2r - 9s = -10
9r + 2s = 40
;
Multiply the 1st equation by 2 and the 2nd equation by 9
4r - 18s = -20
81r +18s = 360
--------------------Addition eliminates s, find r
85r = 340
r =
r = 4
:
Find s using the 2nd original equation
9(4) + 2s = 40
36 + 2s = 40
2s = 40 - 36
2s = 4
s = 2
;
Check solutions in original 1st equation
2(4) - 9(2) = -10
8 - 18 = -10, confirms our solution
:
A) r, s solution is: 4, 2
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