Here's my step-by-step explanation:
Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use <em>n</em> for number and translate from English to Algebraic.
- The product of 2 more than a number and 10 is 36 more than 8 times the number.
- The product of 2 more than <em>n</em> and 10 is 36 more than 8 times <em>n.</em>
<em>- </em>The product of 2 + <em>n</em> and 10 is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
Let's solve.
(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
20 + 10<em>n</em> = 36 + 8<em>n</em>
10<em>n</em> - 8<em>n</em> = 36 - 20
2<em>n</em> = 16
<em>n</em> = 8
Hope this helps, let me know if I made a mistake or if you have any questions!
