SOLUTION: Solve the system of equations using the elimination method: 3x + 5y = 2995 x + y = 729

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Question 417997: Solve the system of equations using the elimination method:
3x + 5y = 2995
x + y = 729
Answer by mananth(16946) About Me  (Show Source):
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3x + 5y = 2995
x + y = 729
3x+5y=2995 .............1
1x+1y=729 .............2

multiply (1)by 1
Multiply (2) by -5
3x+5y=2995
-5x-5y=-3645

Add the two equations
-2x=-650
/-2
x=325
plug value of x in (1)
3x+5y=2995
975+5y=2995
5y=2995 -975
5y=2020
y=404