Question

The solution of equation 5m-3n=7 is
​

Answer 1

Answer:

Given 3m+5n=9 -----(1)

5m+3n=7 -----(3)

multiply eq (1) by 5 and eq (2)by (3) we get

15m+25n=45

15m+9n=21

___________

16n=34. [n=

8

17

]

now form eq (1)

3m=9−

8

5×17

=

8

72−85

=

8

−13

.

m=

24

−13

Now 8m+8n=8(m+n)=8(

24

−13

+

8

17

)=

24

51−13

[8m+8n=

3

38

]

Answer 2

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Answer:

Given 3m+5n=9 -----(1)

5m+3n=7 -----(3)

multiply eq (1) by 5 and eq (2)by (3) we get

15m+25n=45

15m+9n=21

___________

16n=34. [n=

8

17

]

now form eq (1)

3m=9−

8

5×17

=

8

72−85

=

8

−13

.

m=

24

−13

Now 8m+8n=8(m+n)=8(

24

−13

+

8

17

)=

24

51−13

[8m+8n=

3+38 ]