SOLUTION: The real numbers x and y satisfy the equations y(2x − 3y) = 19 and x(3x − 4 y) = 94 . Evaluate |x-y |.

Algebra ->  Absolute-value -> SOLUTION: The real numbers x and y satisfy the equations y(2x − 3y) = 19 and x(3x − 4 y) = 94 . Evaluate |x-y |.       Log On


   



Question 252374: The real numbers x and y satisfy the equations y(2x − 3y) = 19 and
x(3x − 4 y) = 94 . Evaluate |x-y |.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This one appears a bit tricky. We have two equations and two unknowns:
y%282x+-+3y%29+=+19
x%283x+-+4y%29+=+94
step 1: divide the first equation by y and the second equation by x.
%282x+-+3y%29+=+19%2Fy
%283x+-+4y%29+=+94%2Fx
step 2: multiply the first equation by -1 and add the two equations together.
-2x+%2B+3y+=+-19%2Fy
++3x+-+4y+=+94%2Fx
x+-+y+=+94%2Fx+-+19%2Fy
step #3: We can take the absolute value of both sides. absolute value (x-y) = 94/x - 19/y
I think this is what you are looking for?