simultaneous equations sub method?

2008-05-13 10:41 am
m-sn=3
5m+2n=3

have no clue i tried to do it and got n=-13/12
更新1:

im sorry the question was supposed to be m-2n=3 5m+2n=2

回答 (6)

2008-05-13 10:54 am
✔ 最佳答案
m-2n=3

m=3+2n


5m+2n=3

5(3+2n)+2n=3

15+10n+2n=3

15+12n=3

12n=3-15

12n=-12

n=-12/12

n=-1
參考: Assuming 's' was supposed to be 2
2008-05-13 7:48 pm
m - 2n = 3
5m + 2n = 3

m = 3 + 2n
5m = 5(3 + 2n)

5m + 2n = 3
5(3 + 2n) + 2n = 3
15 + 10n + 2n = 3
10n + 2n = 3 - 15
12n = -12
n = -12/12
n = -1

m - 2n = 3
m - 2(-1) = 3
m - (-2) = 3
m + 2 = 3
m = 3 - 2
m = 1

∴ m = 1 , n = -1
2008-05-13 6:18 pm
i got 5/6 because you cannel the opposite signs (-2n and +2n) it left me with m=3 and 6m=5. you then have to add them (6m-5) it gave me 5/6
2008-05-13 6:16 pm
i think u meant 2n not sn

m-2n=3 equation 1
5m+2n=3 equation 2

rearrange eq 1
m=3+2n equation 3
sub eq 3 into eq 2

5(3+2n)+2n=3
15+10n+2n=3
15+12n=3
12n=-12
n=-1

sub n=-1 into eq 1
m-2n=3
m+2=3
m=1

check with eq 2
5m+2n=3
5-2=3
3=3

therefore solution is n=-1 m=1
2008-05-13 5:48 pm
taking a wild guess that you intended to type

m-2n=3
5m+2n=3

Personally I'd add to eliminate n and get m=1 then sub that in to get n=-1

Straight substitution method would have you 3+2n in place of m in the second equation giving 5(3+2n)+2n=3 etc...
2008-05-13 5:45 pm
First equation will not be m - sn = 3 will it ??????


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