Question

If 2m+3n=4500: 3m+2n=5500 then m+n=?​

Answer 1

Explanation:

Hello!! Here is the detail explanation

3m+2n=5500

2m+3n=4500

2(3m+2n=5500)

3(2m+3n=4500)

6m+4n=11000

6m+9n=13500

By using the process of elimination,

6m+9n=13500

6m+4n=11000

- - -

5n=2500

n=2500÷5=500

So the value of n =500

as 3m+2n=5500

substituting n with 500 we get,

2*500+3m=5500

1000+3m=5500

3m=5500-1000

3m=4500

m=4500÷3

m=1500

so the value of m=1500

so the value of m+n=1500+500=2000

Hope it helps!!

Answer 2

Answar:

2m+3n=4500----------1

3m+2n=5500----------2

Eq 1 को 3 से गुणा करने पर;

Eq 2 को 2 से गुणा करने पर;

Eq 1 को 2 से घटाने पर;

= 6m+9n=13500

= 6m+4n=11000

- - -

________________

5n=2500

n=2500\5

(n=500) समी. को Eq 1 में रखने पर;

2m+3n=4500

2m+3(500) =4500

2m+1500=4500

2m=4500-1500

2m=3000

m=3000/2

m=1500 Ans:- m=1500, n=500