Question

find the value of x and y

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


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Answer 1

Let's solve for x.

5

x

−1+

1

y

−2=−1

Step 1: Multiply both sides by xy.

−3xy+x+5y=−xy

Step 2: Add xy to both sides.

−3xy+x+5y+xy=−xy+xy

−2xy+x+5y=0

Step 3: Add -5y to both sides.

−2xy+x+5y+−5y=0+−5y

−2xy+x=−5y

Step 4: Factor out variable x.

x(−2y+1)=−5y

Step 5: Divide both sides by -2y+1.

x(−2y+1)

−2y+1

= −5y −2y+1 x = −5y −2y+1

Answer:

x=

−5y

−2y+1