# algebra

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Process of eliminiation method ? Is there a solution, infinity or no solution. I don't get it. Can anyone help me?
3r - 5s = -27
5r + 3s = 23

• algebra -

multiply the top by 3 and the bottom by 5 to eliminate the s's
9r-15s=-81
25r+15s=115
34r=34
divide both sides by 34
r=1
plugging in r=1 to either equation
5+3s=23
subtract 5 from both rows
3s=18
s=6
solution: r=1, s=6

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