if 4m+3n=5, find the ratio m:n, 4m-3n=3?
回答 (7)
4m + 3n = 5 …… [1]
4m - 3n = 3 …… [2]
[1] × 3:
12m + 9n = 15 …… [3]
[2] × 5:
20m - 15n = 15 …… [4]
[4] = [3]:
20m - 15n = 12m + 9n
8m = 24n
m/n = 24/8
m : n = 3 : 1
4m + 3n = 5
4m - 3n = 3
8m = 8, m = 1
6n = 2, n = 1/3
m : n = 1 : 1/3 = 3 : 1
4m+3n=5...(1), 4m-3n=3...(2), (1)+(2) gives 8m = 8, ie., m = 1. Then (1) gives n=1/3
and m:n = 1:1/3 = 3:1.
4m + 3n = 5
4m - 3n = 3
------------------
8m = 8
m = 1
solving for n
4m + 3n = 5
4(1) + 3n = 5
4 + 3n = 5
3n = 5 - 4
3n = 1
n = 1/3
The ratio of m:n is 1:1/3 or 1/(1/3) or 3 Answer//
Solution to the equations are m = 1 and n = 1/3
So the ratio is 3:1
4m + 3n = 5
4m - 3n = 3
Adding the equations gives:
8m = 8
so, m = 1
Then, 4 + 3n = 5
so, 3n = 1
Hence, n = 1/3
Therefore, m : n => 1 : 1/3...or, 3 : 1
:)>
Start by adding the two equations together.
收錄日期: 2021-04-18 18:34:09
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