SOLUTION: how do i do elimination a+c=2200 4a+1.5c-5050

Algebra ->  Equations -> SOLUTION: how do i do elimination a+c=2200 4a+1.5c-5050       Log On


   



Question 275147: how do i do elimination
a+c=2200
4a+1.5c-5050

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do i do elimination
Assume the last - is supposed to be an =
:
a + c = 2200
4a + 1.5c = 5050
:
Multiply the 1st equation by 4, subtract the 2nd equation
4a + 4c = 8800
4a+1.5c = 5050
--------------------subtraction eliminates a, find c
2.5c = 3750
c = 3750%2F2.5
c = 1500
:
Find a, substitute 1500 for c in the 1st equation
a + 1500 = 2200
a = 2200 - 1500
a = 700
:
a = 700, c = 1500
:
:
Check solution in the 2nd equation
4a + 1.5c = 5050
4(700) + 1.5(1500) =
2800 + 2250 = 5050; confirms our solutions