Haven translated the word problem into an algebraic expression, the unknown number is 6.
In this exercise, you're required to find an unknown number by writing an algebraic expression for the word problem and solve for the unknown number.
Translating the word problem into an algebraic expression, we have;
Eight times a number increased by 9:
[tex]8n + 9[/tex] ....equation 1.
15 more than 7 times the number:
[tex]7n + 15[/tex] ....equation 2.
Next, we would equate the two equations since we were told that they are the same.
[tex]8n + 9 = 7n + 15\\\\8n - 7n = 15 - 9\\\\n = 6[/tex]
Therefore, the unknown number is 6.
Find more information: https://brainly.com/question/596290
