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- March 27th 2007, 11:12 AM #1

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- Mar 2007
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## Help, please

I have one question left on my assignment, but it's confusing me, as algebra is not my strongest subject!!

If somebody could figure this out for me, it would be greatly appreciated!!

"Solve the following system algebraically. Show your work"

3/4x-2/5y=2

1/2x-3/5y=-2

- March 27th 2007, 11:16 AM #2

- March 27th 2007, 11:19 AM #3

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- Mar 2007
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- March 27th 2007, 11:50 AM #4
ok, here goes. we will do the elimination method, rather than the substitution method

(3/4)x-(2/5)y=2 ..................................(1)

(1/2)x-(3/5)y=-2 .................................(2)

x - (8/15)y = 8/3 .................................(3) = (1) * (4/3)

x - (6/5)y = -4 ....................................(4) = (2) * 2

now subtract the (4) equation from the (3) equation, we get:

(2/3)y = 20/3 .....................................(5) = (3) - (4)

=> y = 10 ..........................................(6) = (5) * 3/2

but from equation (4), x - (6/5)y = -4

=> x - (6/5)(10) = -4

=> x = 60/5 - 4 = 8

so we get x = 8, y = 10