Question

If x+6=2(y+3), then prove that x and y are in direct proportion.​

Answer 1

$x + 6 = 2(y + 3) \\ = > x + 6 = 2y + 6 \\ = > x + 6 - 6 = 2y \\ = > x = 2y \\ = > \frac{x}{y} = 2 \\ = > y = \frac{x}{2}$

Answer 2

$\huge\bold\red{Question}$

• If x+6=2(y+3), then prove that x and y are in direct proportion.

$\huge\bold\red{Solution}$

Given equation, x + 6 = 2(y+3)

• => x + 6 = 2y + 6

Now +6 on R.H.S. will move to L.H.S. as -6

• =>x=2y+6-6

Now as when (+) and (-) are operated it result in subtraction, i.e.,6-6=0

• => x = 2y

• => x is 2 the amount of y

As y increases , so x also increases and

when y decreases ,x also decreases and shows the viceversa

:.x and y are in direct proportion