Question

5m – 3n = 19; m – 6n = –7

elimination ​

Answer 1

So sorry to give less explaination but I'm in hurry.

5m - 3n = 19

m - 6n = - 7

Eliminating m.

Multiply second eq. by 5.

5m - 30n = - 35

_______

Subtracting it.

5m - 3n = 19

-(5m -30n = -7)

27n =54

n = 2

_________

Substituting it in m - 6n = -7

m - 6n = -7

m - 6(2) = -7

m - 12 = -7

m = 12 - 7

m = 5

Answer

m = 5 and n =2

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).