if 4m+3n=5, find the ratio m:n, 4m-3n=3?

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.