SOLUTION: 1/4c+2/3d=6 3/4c-5/3d=-4

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Question 14200: 1/4c+2/3d=6
3/4c-5/3d=-4

Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose: x=1/4c and y=1/3d
Such we get the equations:
x+2y=6 ........(1)
3x-5y=-4 ......(2)
Use elimination method:
x+2y=6 --------------->multiply with 3
3x-5y=-4
---------------------------------------------
3x+6y=18
3x-5y=-4
-------- -
11y=22
y=22/11=2
Substitute y = 2 to (1):
x+2y=6
x+2(2)=6
x+4=6
x=6-4
x=2
Substitute x=2 to x=1/4c:
x=1/4c
2=1%2F4c
2%2A4c=1
8c=1
c=1%2F8
Substitute y=2 to y=1/3d:
y=1/3d
2=1%2F3d
2%2A3d=1
6d=1
d=1%2F6
Thus, c=1%2F8 and d=1%2F6
OK