Question

Solve for x and y
6/(x-1) - 3/(y-2) =1
5/(x-1) + 1/(y-2) =2

Answer 1

Answer:

Step-by-step explanation:

Let  

x−1

1

​

=X and  

y−2

1

​

=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=  

3

1

​

 

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

6(  

3

1

​

)−3Y=1

⇒2−3Y=1

⇒3Y=1

⇒Y=  

3

1

​

 

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

X=  

x−1

1

​

 

⇒  

3

1

​

=  

x−1

1

​

 

⇒x−1=3

⇒x=4

Y=  

y−2

1

​

 

⇒  

3

1

​

=  

y−2

1

​

 

⇒y−2=3

⇒y=5

Hence, x=4,y=5 is the solution of the given simultaneous equations.

Answer 2

Answer:

x=8,y=9 by elumination method