the quotient of a number increased by 13 and -7 is -4
To find the answer to this problem, let's break it down step by step:
Step 1: Let's define the variables:
Let's represent the unknown number as "x".
Step 2: Translate the problem into a mathematical equation:
"The quotient (division result) of a number increased by 13 and -7 is -4."
Mathematically, this can be expressed as:
(x + 13) / -7 = -4
Step 3: Solve the equation:
To solve for x, we need to isolate it on one side of the equation.
Start by multiplying both sides of the equation by -7 to eliminate the fraction:
-7 * [(x + 13) / -7] = -4 * -7
This simplifies to:
x + 13 = 28
Step 4: Isolate the variable:
To isolate x, we need to eliminate the constant term on the same side. Subtract 13 from both sides of the equation:
x + 13 - 13 = 28 - 13
This simplifies to:
x = 15
Therefore, the answer is x = 15.
guessing you mean:
(x+13)/-7 = -4
x+13 = 28
x = 15