Question

5/(x - 1) + 1/(y - 2) = 2, 6/(x - 1) - 3/(y - 2) = 1 Find y - X.​

Answer 1

Answer:

Let x−11=X and y−21=Y

Hence, the given equations are reduced to:

5X+Y=2            ....(1)

6X−3Y=1          ....(2)

Multiplying (1) by 3, we get

15X+3Y=6       ....(3)

Adding (3) and (2), we get

21X=7

⇒X=31

Substitute this value of X in (2), we get

6(31)−3Y=1

⇒2−3Y=1

⇒3Y=1

⇒Y=31

Resubstitute the values of X and Y to get x and y,

X=x−11

⇒31=x−11

⇒x−1=3

⇒x=4

Y=y−21

⇒31

Step-by-step explanation:

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