the quotient of a number and 2, increased by 8 is -15
To find the solution, we need to translate the statement into an equation. Let's call the unknown number "x".
The quotient of a number and 2 can be written as x/2.
The statement "increased by 8" means we add 8 to this quotient.
So, the expression becomes (x/2) + 8.
Finally, we are told this expression is equal to -15.
Putting it all together, the equation is:
(x/2) + 8 = -15
To solve for x, you can follow these steps:
Step 1: Subtract 8 from both sides of the equation to isolate the variable.
(x/2) + 8 - 8 = -15 - 8
(x/2) = -23
Step 2: Multiply both sides of the equation by 2 to eliminate the fraction.
2 * (x/2) = -23 * 2
x = -46
Therefore, the solution to the equation is x = -46.