SOLUTION: solve the following by elimination method if there is infinite answers then state that. 5x+5y=50 and 10x+6y=84. I am having trouble with this one since there is no same number in

Question 466470: solve the following by elimination method if there is infinite answers then state that. 5x+5y=50 and 10x+6y=84. I am having trouble with this one since there is no same number in both.

Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!

If there are not equal coefficients, then you have to change equation so that there are.
Notice 5 and 10 are multiples of each other.
Also all the coefficients in 2nd equation are divisible by 2.
Divide 2nd equation by -2, *negative because i want equal but opposite numbers*

Now the x coefficients are equal but opposite so if I add them together they will become zero.
Add equations together

Divide by 2 on both sides

Substitute this value into a equation to solve for x:

Subtract 20 on both sides

Divide by 5 on both sides

Solution is x=6, y=4
Or as a coordinate point:(6,4)
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