Question

=
-
2
1
5
+
2(x + 2y) 3(3x – 2y)
5
3
4(x + 2y) 5(3x – 2y)
61
=
60

Answer 1

Answer:

Step-by-step explanation:

Let  

x+2y

1

​

=U,  

3x−2y

1

​

=V⇒  

2

U

​

+  

3

5V

​

=−  

2

3

​

 

⇒3U+10V=−9(i)

⇒  

4

5U

​

−  

5

3V

​

=  

60

61

​

⇒75U−36V=61(ii)

Equation (I) is multiplied by 25

75U + 250V = -225

75U - 36V = 61

  -       +     -      

Subtracting 286V = - 286        V=−1,U=  

3

1

​

 

∴  

x+2y

1

​

=  

3

1

​

,  

3x−2y

1

​

=−1      x + 2y = 3, -3x + 2y = 1

x + 2y = 3

-3x + 2y = 1

 +     -     -           Subtracting 4x = 2     So x=  

2

1

​

,y=  

4

5

​