
Lauren D. answered 04/29/21
Fun and Committed K-6 Tutor Specializing in STEM Fields
Hi Celeste!
To solve this we're going to break down each section of the prompt.
Firstly, quotient means division, so we're going to be dividing.
Next, "Nine more than" means addition so 9+.
Then, "the quotient of a number and 8" means division so a number x divided by 8.
Lastly, "is 2" means that all the previous equation is equal to 2.
When we put it all together we get 9 + x/8 = 2.
To solve the equation you'll first start by subtracting 9 from both sides of the equation:
9+x/8-9=2-9
Now our equation is x/8 = -7
Next, in order to "cancel out" the division, we'll multiply both sides by 8.
8 * x/8 = -7 * 8
Now our equation is x = 8*-7
Lastly, we multiply 8 by -7 to get -56, which is our missing x number.
Check if the statement 9 + -56/8 = 2 is true.
It is! So x = -56
Hope this helps! If you need any additional clarification please let me know!