Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.