SOLUTION: solve for a and b in the equations. 6/a - 4/b = 1 and 9/a - 8/b = 1

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Question 893859: solve for a and b in the equations. 6/a - 4/b = 1 and 9/a - 8/b = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
u=1%2Fa, v=1%2Fb
.
.
.
6u-4v=1
9u-8v=1
Multiply eq. 1 by -2 and add to eq. 2,
-12u%2B8v%2B9u-8v=-2%2B1
-3u=-1
u=1%2F3
Then,
6%281%2F3%29-4v=1
2-4v=1
-4v=-1
v=1%2F4
So then,
1%2Fa=1%2F3
a=3
and
1%2Fb=1%2F4
b=4