Question

6(ax+by)=3a+2b 6(bx-ay)=3b-2a

Answer 1

numyCBSEguide

person

6(ax+by) =3a+2b , 6(bx-ay)=3a-2b

Homework Help

CBSE

Class 10

Mathematics

6(ax+by) =3a+2b , 6(bx-ay)=3a-2b

 

Posted by Rohan Sethi 1 year ago

  CBSE > Class 10 > Mathematics

1 answers

Sia  1 year ago

6(ax + by) = 3a + 2b

6ax + 6by = 3a + 2b.........(i)

6(bx - ay) = 3b - 2a

6bx - 6ay = 3b - 2a.........(ii)

Multiplying (i) by a and (2) by b,

So, 6a2x + 6aby = 3a2 + 2ab .......... (iii)

And 6b2x - 6aby = 3b2 - 2ab ......... (iv)

Add (iii) and (iv), we get

6a2x + 6aby + 6b2x - 6aby = 3a2 + 2ab + 3b2 - 2ab

⇒ 6a2x + 6b2x = 3a2 + 3b2

⇒6 (a2x + b2x) = 3(a2 + b2)

⇒x=3(a2+b2)6(a2+b2)=36=12x=3(a2+b2)6(a2+b2)=36=12

Substituting x=12x=12 in (i),we get

6a×12+6by=3a+2b6a×12+6by=3a+2b

⇒ 3a + 6by = 3a + 2b

⇒ 6by =3a + 2b -3a

⇒ 6by = 2b

⇒ y=2b6b=13y=2b6b=13

Hence, the solution is x=12,y=13