Question

What is
6(ax+by)=3a+2b
6(6x-ay)=3b-2a

Answer 1

Answer

x = 1/2

y = 1/3

Step-by-step explanation:

The given equations are 6(ax + by) = 3a + 2b ⇒6ax + 6by = 3a + 2b ………(i) and

6(bx – ay) = 3b – 2a

⇒6bx – 6ay = 3b – 2a ………(ii)

On multiplying (i) by a and (ii) by b, we get

6a^2x + 6aby = 3a^2 + 2ab .......(iii) and

6b^2x - 6aby = 3b^2 - 2ab .........(iv)

By add (iii) and (iv) , we get

6a^2x + 6b^2x = 3a^2 + 3b^2

=> 6x(a^2 + b^2) = 3(a^2 + b^2)

Therefore x = 3/6 = 1/2

6a(1/2) + 6by = 3a + 2b

=> 3a + 6by = 3a + 2b

Therefore y = 2b/6b = 1/3