Question 220967
solve using the elimination method

5r-6s=-5  Equation A
6r+5s=55  Equation B


Multiply Equation A by 5 and Equation B by 6

25r-30s=-25  Equation A1
36r+30s=330  Equation B1


Add equations A1 and B1 to eliminate s-terms.


61r=305 or r=305/61=5


Then Equation A yields 5*5-6s=5 or 25-6s=-5  or s=5


ANSWER:  The solution is r=5 and s=5 or (5,5).  Checking via substitution method.


*[invoke linear_substitution "r", "s", 25,-30,-25, 36, 30, 330 ]


I hope the above steps were helpful. 

 
And good luck in your studies!


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Respectfully,
Dr J