Question

how to solve the equation 5m-3n=19 m-6n=-7​

Answer 1

heya!

5m -3n = 19 ---1equation

m-6n =-7 ----2equation

_______________

[ 5m -3n = 19 ] ×1

[ m -6n = -7 ] × 5

____________, __,

5m -3n = 19

5m -30n = -35

- + +

___________

27n = 54

n = 54/27

n = 2

Putting the value of n in 1equation.

5m -3(n) = 19

5m -(3×2) = 19

5m -6=19

5m = 19+6

5m = 25

m = 25/5

m = 5

___________

n =2

m =5

hope it helps! yay!

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