Solve for x and y: 23x - 29y = 98, 29x - 23y = 110

1.	Solve for x and y: 23x - 29y = 98, 29x - 23y = 110
Answer» 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.

Answer»

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.

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