Question

If 173a+197b=149 and 197a+173a =221 then (a,b)​

Answer 1

Step-by-step explanation:

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Answer 2

The value of (a, b) is (2, -1).

Step-by-step explanation:

Given, 173a + 197b = 149....................(i)

           197a + 173b = 221...................(ii)

Now, 197 x equation(i) - 173 x equation(ii),

=> 34081a + 38809b - 34081a - 29929b = 29353 - 38233

=> 8880b = -8880

=> b = $\frac{-8880}{8880}$ = -1

Plug the value of b in equation(i),

173a + 197(-1) = 149

=> 173a - 197 = 149

=> 173a = 149 + 197 = 346

=> a = $\frac{346}{173}$ = 2

Hence, the value of (a, b) is (2, -1).