Question

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Answer 1

3x + 2y = 29  ----- (i)  and  5x - y = 18    ------ (ii)

Multiplying (ii) by 2

=> 5x * 2 - y * 2 = 18 * 2

=> 10x - 2y = 36      -------- (iii)

Let's add equation (i) and (iii)

3x + 2y = 29

10x - 2y = 36

------------------------

13x = 65

x = 5

Substituting x = 5 in equation (i)

=> 3x + 2y = 29

=> 3(5) + 2y = 29

=> 15 + 2y = 29

=> 2y = 29 - 15

=> 2y = 14

=> y = 7

(x,y) = (5,7) is the solution.

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