Question

5m - 3n = 19 m - 6n = -7

Answer 1

5m - 3n = 19.......(i)
m - 6 n= -7......(ii)
Multiplying Eqñ (i) by 2....we get....
10 m - 6n = 38
.....
on solving
10 m -6n = 38
m - 6n = -7
___________
9 m = 45
m = 45/9
m = 5...
m-6n = -7
5 - 6n = -7
-6n = -12
n = 2
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Answer 2

Answer:

5m – 3n = 19 .....(I)

m – 6n = –7 .....(II)

Multiplying (I) with 2 we get

10m – 6n = 38 .....(III)

m – 6n = –7 .....(IV)

Subtracting (IV) from (III) we get

10m-m-6n-(-6n)=38-(-7)

⇒9m=45

⇒m=45/9

=5

Putting the value of m = 5 in (II) we get

5-6n=-7⇒-6n=-7-5

⇒-6n=-12

⇒n=-12/-6

=2

Thus, (m, n) = (5, 2).