SOLUTION: Can you please help me solve the system ? x\4 - y\3 = -3\4
x\2 - y\3 = -1\2
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Question 55338: Can you please help me solve the system ? x\4 - y\3 = -3\4
x\2 - y\3 = -1\2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
:
Mult the equation by a common denominator, in this case it would be 12
Resulting in:
3x - 4y = -9
:
We do the same with:
:
The common denominator would be 6 here:
Resulting in:
3x - 2y = -3
:
:
These two equations can easily be solved using the elimination method:
3x - 4y = - 9
3x - 2y = - 3
-------------- subtract
0x - 2y = -6
y = -6/-2
y = +3
:
Substitute 3 for y in the 1st equation to find x:
3x - 4(3) = - 9
3x - 12 = -9
3x = -9 + 12
3x = +3
x = +1
:
It's a good idea to substitute for x and y in one of the original equations:
:
:
:
Equality reigns!
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