Question

part 2 - short answer -please show all work in this section as you are able to receive partial credit.

1. im thinking of a number. if you multiply the number by four, then add ten, the result is negative two (-2). what is the number i am thinking of?

Explanation:

Step1: Define the variable

Let the number be \( x \).

Step2: Translate the problem into an equation

Multiplying the number by four gives \( 4x \), then adding ten gives \( 4x + 10 \). This equals -2, so the equation is \( 4x + 10 = -2 \).

Step3: Solve for \( x \)

Subtract 10 from both sides: \( 4x + 10 - 10 = -2 - 10 \), which simplifies to \( 4x = -12 \).
Divide both sides by 4: \( \frac{4x}{4} = \frac{-12}{4} \), so \( x = -3 \).

Answer:

The number is \(-3\).