Question

Solve for x and y: 

23x - 29y = 98, 

29x - 23y = 110

Answer 1

The given equations are: 

23x - 29y = 98 …..(i) 

29x - 23y = 110 ……(ii) 

Adding (i) and (ii), we get: 

52x – 52y = 208 

⇒x – y = 4 ……(iii)

Subtracting (i) from (ii), we get: 

6x + 6y = 12

⇒x + y = 2 ……(iv) 

Now, adding equation (iii) and (iv), we get: 

2x = 6 

⇒x = 3 

On substituting x = 3 in (iv), we have: 

3 + y = 2 

⇒y = 2 – 3 = -1 

Hence, x = 3 and y = -1.