SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinate number of soluttions state this. 10x+5y-52.5 30x-7y=80.5

Question 626558: Solve using the elimination method. Show your work. If the system has no solution or an infinate number of soluttions state this.
10x+5y-52.5
30x-7y=80.5
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve using the elimination method. Show your work.
If the system has no solution or an infinite number of solutions state this.
10x + 5y = 52.5
30x - 7y = 80.5
:
Multiply the 1st equation by 3
30x + 15y = 157.5
30x - 7y = 80.5
-------------------subtraction eliminates x, find y
0 + 8y = 238
y =
y = 29.75
:
Find x using the 1st equation, y = 29.75
10x + 5(29.75) = 52.5
10x + 148.75 = 52.5
10x = 52.5 - 148.75
10x = 96.25
x =
x = 9.625
:
Check solutions in the 2nd equation
30(9.625) - 7(29.75) = 80.5
288.75 - 208.25 = 80.5; confirms our solution of x=9.625, y=29.75

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