Question

5m-3n=19; m-6n=-7 Solve the simultaneous equation

Answer 1

Hi ,

5m - 3n = 19 , m - 6n = -7 are given two

simultaneous equations.

5m - 3n = 19 ---( 1 )

m - 6n = -7

m = 6n - 7 ----( 2 )

substitute m = 6n - 7 in equation ( 1 ) , we

get

5( 6n - 7 ) - 3n = 19

30n - 35 - 3n = 19

27n = 19 + 35

27n = 54

n = 54/27

n = 2

Put n = 2 in equation ( 2 ) , we get

m = 6 × 2 - 7

m = 12 - 7

m = 5

Therefore ,

m = 5 , n = 2

I hope this helps you.

: )

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