Question

solve the equation.
apply properties:
add subtract
multiply divide
\\(\frac{1}{2}x - 19.7 = -4.1\\)
reset
decreasing half of a number by 19.7 results in -4.1. what is the number?
use the given equation to find the number.
\\(\frac{1}{2}x - 19.7 = -4.1\\)
what is the number?
31.2
15.6
7.8

Explanation:

Step1: Add 19.7 to both sides

To isolate the term with \( x \), we add 19.7 to both sides of the equation \(\frac{1}{2}x - 19.7 = -4.1\).

$$ \frac{1}{2}x - 19.7 + 19.7 = -4.1 + 19.7 $$

Simplifying both sides, we get:

$$ \frac{1}{2}x = 15.6 $$

Step2: Multiply both sides by 2

To solve for \( x \), we multiply both sides of the equation \(\frac{1}{2}x = 15.6\) by 2.

$$ 2\times\frac{1}{2}x = 15.6\times2 $$

Simplifying both sides, we find:

$$ x = 31.2 $$

Answer:

31.2