Question

Can you help me pls this was very hard for me

Answer 1

Given:

The equation is,

`(24x^2+25x-47)/(ax-2)=-8x-3-(53)/(ax-2)`

Step-by-step explanation:

Simplify the right hand side of equation.

`\begin{gathered} -8x-3-(53)/(ax-2)=((-8x-3)(ax-2)-53)/(ax-2) \\ =(-8ax^2-3ax+16x+6-53)/(ax-2) \\ =(-8ax^2+(-3a+16)x-47)/(ax-2) \end{gathered}`

From left side and right side of equationn it can be observed that,

`-8ax^2=24x^2\text{ and (-3a+16)x=}25x`

Simplify the equation for a.

`\begin{gathered} -8a=24 \\ a=(24)/(-8) \\ =-3 \end{gathered}`

OR,

`\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=(9)/(-3) \\ =-3 \end{gathered}`

So value of a is -3.

Option B is correct.