SOLUTION: Please help me solve this problem too! Solve: 4/3x + 1/2y =4 2/3x - 7/12y=-3 Thank you!

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Question 203636: Please help me solve this problem too!
Solve:
4/3x + 1/2y =4
2/3x - 7/12y=-3
Thank you!

Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve:
1)
2)
Multiply equation 2) by 2 and subtract the result from equation 1)
1)
2a)
---------------------------------
3) Multiply both sides by
3) Now substitute this into equation 1) and solve for x.
1a)
1a) Subtract 3 from both sides.
1a) Multiply both sides by
1a)
The solution is: (, )

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
4/3x + 1/2y =4
2/3x - 7/12y=-3
--------------------------
Multiply thru the 1st equation by 6
Multiply thru the 2nd equation by 12
--------------------------
8x + 3y = 24
8x - 7y = -36
------------------------
Subtract the 2nd from the 1st to solve for "y":
10y = 60
y = 6
------------
Substitute into 8x + 3y = 24 to solve for "x":
8x + 18 = 24
8x = 6
x = 3/4
-----------------
Ans: (3/4 , 6)
===========================
Cheers,
Stan H.

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