Question

Solve for x and y:
3/x + 4/y=1 , 2/x + 1/y=-3
Please help, with steps​

Answer 1

Answer:

Let  

x+y

1

​  

=X and  

x−y

1

​  

=Y

3X+2Y=2                       ...(i)

9X−4Y=1                        ...(ii)

On multiplying (i) by 3 and (ii) by 1 and subtracting, we get

9X+6Y=6

−

9

​  

X  

+

−

​  

4Y=  

−

1

​  

 

​  

 

            10Y=5

∴Y=  

2

1

​  

 

On putting Y=  

2

1

​  

 in (i), we get

3X+2×  

2

1

​  

=2⇒X=  

3

1

​  

 

∴  

x+y

1

​  

=  

3

1

​  

 and  

x−y

1

​  

=  

2

1

​  

 

⇒x+y=3                  ...(iii)

x−y=2                       ...(iv)

On adding (iii) and (iv), we get

2x=5⇒x=  

2

5

​  

 

On putting x=  

2

5

​  

 in (iii), we get

2

5

​  

+y=3⇒y=3−  

2

5

​  

=  

2

1

​  

 

∴x=  

2

5

​  

,y=  

2

1

​  

Step-by-step explanation: