SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.-x + 2y = 8 and -x + 10y = 48

Question 478503: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.-x + 2y = 8 and -x + 10y = 48
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
-x + 2y = 8
-x + 10y = 48
I multiplied equation 1 by -1.
x - 2y = -8
then add to equation 2.
x - 2y = -8
-x + 10y = 48
Next we add the two equations to obtain:
8y = 40
y = 5
Now we can solve for x in equation one.
-x + 2(5) = 8
x = 2
So x = 2 and y = 5.
We can check this in equation 2.
-(2) + (10)(5) = 48,
Cleomenius.

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