SAT
SAT, 13.02.2021 02:10, levicorey846

NSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by axβˆ’2 (so you can get rid of the fraction). When you multiply each side by axβˆ’2, you should have: 24x2+25xβˆ’47=(βˆ’8xβˆ’3)(axβˆ’2)βˆ’53

You should then multiply (βˆ’8xβˆ’3) and (axβˆ’2) using FOIL.

24x2+25xβˆ’47=βˆ’8ax2βˆ’3ax+16x+6βˆ’53

Then, reduce on the right side of the equation

24x2+25xβˆ’47=βˆ’8ax2βˆ’3ax+16xβˆ’47

Since the coefficients of the x2-term have to be equal on both sides of the equation, βˆ’8a=24, or a=βˆ’3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.

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NSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each sid...

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