Question

HELP!! WILL MAKE BRAINLIEST!!

The equation(24x^2 + 25x - 47)/(ax--2) = -8x - 3 - 53/(ax--2) is true of all values of x≠2/a where a is a constant. What is the value of a?

Please help me there is no multiple choice :(

Answer 1

Answer:

-3

Step-by-step explanation:

The fastest way to solve this problem is to multiply each side of the given equation by in order to get rid of the fraction. After you do this you should have:

Then multiply $(-8x-3)$ and $(ax-2)$ using FOIL:

$24^2+25x-47=-8ax^2-3ax+16x+6-53$

Then reduce on the right side of the equation:

$24x^2+25x-47=-8ax^2-3ax+16x-47$

Because the coefficients of the $x^2$ term have to be equal on both sides of the equation, reduce from $-8a=24$ to $a = -3$ by dividing both sides by $-8$.