Question

Solve by Elimination method
6 (ax+by) = 3a+2b
6 (bx-ay) =3b-2a​

Answer 1

Answer:

The value of x = 1/2 and y = 1/3

Step-by-step explanation:

6( ax + by ) = 3a + 2b  

6ax + 6by = 3a + 2b  --------- (1)

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

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

On solving (1) * a & (2) * b, we get

6ax + 6aby = 3a + 2ab

6b x - 6aby = 3b - 2ab

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6ax + 6b x = 3a + 3b

6x( a + b ) = 3( a + b )

x = 3/6

x = 1/2.

Substitute x = 1/2 in above equations, we get

6ax + 6by = 3a + 2b

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

3a + 6by = 3a + 2b

6by = 2b

y = 6b/2b

y = 1/3b

Therefore, the value of x = 1/2 and y = 1/3

           

                          I hope this answer will help you............