Using the elimination method solve
7x- 3y=18 6x+7y= 25
The answer should be (3,l)
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Solution :-
◘ 7x - 3y = 18 and 6x + 7y = 25 by elimination method.
7x - 3y = 18 . . . . (1)
6x + 7y = 25 . . . . (2)
✯ Multiply equation (1) by 6 and (2) by 7, we get
42x - 18y = 108 . . . . (3)
42x + 49y = 175 . . . . (4)
❃ Adding (3) and (4) we get,
42x - 18y = 108
42x + 49y = 175
(-) (-) (-)
_______________
- 67y = - 67
y = - 67/- 66
y = 1
✭ Substituting the value of y = 1 in equation (1) we get,
★ 7x - 3y = 18
➜ 7x - 3(1) = 18
➜ 7x - 3 = 18
➜ 7x = 18 + 3
➜ 7x = 21
➜ x = 21/7
➜ x = 3
∴ The value of x = 3, y = 1 is the solution of the system of the given equations.
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