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 n 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 n and 10 is 36 more than 8 times n.
- The product of 2 + n and 10 is 36 + 8n.
- (2 + n)(10) is 36 + 8n.
- (2 + n)(10) = 36 + 8n
Let's solve.
(2 + n)(10) = 36 + 8n
20 + 10n = 36 + 8n
10n - 8n = 36 - 20
2n = 16
n = 8
Hope this helps, let me know if I made a mistake or if you have any questions!
