Answer:
Error: Multiplied both sides by 3/4 instead of 4/3.
Solution: x = 16
Step-by-step explanation:
The error is that you multiplied both sides by [tex]\frac{3}{4}[/tex] instead of dividing both sides by [tex]\frac{3}{4}[/tex].
This is an error because:
[tex]\frac{3}{4} *\frac{3}{4} x\neq x[/tex]
Actually:
[tex]\frac{3}{4} *\frac{3}{4} x=\frac{9}{16} x[/tex]
What you want to do instead is divide both sides by [tex]\frac{3}{4}[/tex]. Remember, dividing both sides by [tex]\frac{3}{4}[/tex] would be the same as multiplying both sides by [tex]\frac{4}{3}[/tex].
Now, lets find the correct answer:
[tex]\frac{3}{4}x=12[/tex]
Multiply both sides by 4/3.
x = 16
So the correct answer would be x = 16.
I hope this helps. Happy studying.
