Final answer:
To solve the equation, we can translate the word problem into an algebraic equation. Let x represent the unknown number. We can write the equation x/2 - 7 = -6 and solve for x.
Step-by-step explanation:
To solve the equation, we can translate the word problem into an algebraic equation.
Let's denote the unknown number as x. The quotient of a number and 2 can be written as x/2. Now, subtracting 7 from this quotient gives us x/2 - 7.
We are told that this expression is equal to -6.
So, we can write the equation x/2 - 7 = -6.
To solve for x, we can add 7 to both sides of the equation:
x/2 - 7 + 7 = -6 + 7
x/2 = 1
To isolate x, we can multiply both sides of the equation by 2:
2 * (x/2) = 2 * 1
x = 2
Therefore, the unknown number is 2.