3m+7n=105 and 9m-2n=108 find the value of m and n using elimination method
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⠀ || ✪ ϙᴜᴇsᴛɪᴏɴ ✪ ||
3m+7n=105 and 9m-2n=108 find the value of m and n using elimination method
⠀⠀ || ✪.Solution.✪ ||
Given:-
- 3m + 7n = 105 ..........(1)
- 9m - 2n = 108 ............(2)
Find:-
- Value of m and by elimination method.
⠀ || ✪.Explanation.✪ ||
Multiply by 7 in equ(2) and 2 in equ(1)
- 6m + 14n = 210
- 63m - 14n = 756
___________________add this (eliminate n)
➩ (6m + 63m) = (210+756)
➩ 69m = 966
➩m = 966/69
➩m = 14
Now ,keep in equ(1),
➩ 3 × 14 + 7n = 105
➩ 7n = 105 - 42
➩7n = 63
➩n = 63/7
➩n = 9
|| ✪.Verification.✪ ||
keep value of m and n in equ(2)
➩ 9 × 14 - 2 × 9 = 108
➩ 9(14-2) = 108
➩ 9 × 12 = 108
➩ 108 = 108
L.H.S = R.H.S
That's proved.
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