Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which equation, when solved, results in a different value of [tex]$x$[/tex] than the other three?

A. [tex]$8.3 = -0.6x + 11.3$[/tex]

B. [tex]$11.3 = 8.3 + 0.6x$[/tex]

C. [tex]$11.3 - 0.6x = 8.3$[/tex]

D. [tex]$8.3 - 0.6x = 11.3$[/tex]

Sure! Let's solve each equation step by step to find the value of [tex]$x$[/tex].

1. Equation 1: [tex]$8.3 = -0.6x + 11.3$[/tex]
- Start by subtracting 11.3 from both sides to isolate terms with [tex]$x$[/tex]:
[tex]\[
8.3 - 11.3 = -0.6x
\][/tex]
[tex]\[
-3 = -0.6x
\][/tex]
- Now, divide both sides by [tex]$-0.6$[/tex] to solve for [tex]$x$[/tex]:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]

2. Equation 2: [tex]$11.3 = 8.3 + 0.6x$[/tex]
- Subtract 8.3 from both sides to get:
[tex]\[
11.3 - 8.3 = 0.6x
\][/tex]
[tex]\[
3 = 0.6x
\][/tex]
- Divide both sides by 0.6 to solve for [tex]$x$[/tex]:
[tex]\[
x = \frac{3}{0.6} = 5
\][/tex]

3. Equation 3: [tex]$11.3 - 0.6x = 8.3$[/tex]
- Subtract 11.3 from both sides to find terms with [tex]$x$[/tex]:
[tex]\[
11.3 - 8.3 = 0.6x
\][/tex]
[tex]\[
-3 = -0.6x
\][/tex]
- Divide both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]

4. Equation 4: [tex]$8.3 - 0.6x = 11.3$[/tex]
- Subtract 8.3 from both sides to bring terms with [tex]$x$[/tex] together:
[tex]\[
8.3 - 8.3 - 0.6x = 11.3 - 8.3
\][/tex]
[tex]\[
-0.6x = 3
\][/tex]
- Divide both sides by [tex]$-0.6$[/tex]:
[tex]\[
x = \frac{3}{-0.6} = -5
\][/tex]

After comparing the solutions, we find:

- For equations 1, 2, and 3, the value of [tex]$x$[/tex] is 5.
- For equation 4, the value of [tex]$x$[/tex] is [tex]$-5$[/tex].

Thus, equation 4 is the one that results in a different value of [tex]$x$[/tex] compared to the others.