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 = -0.6 x + 11.3[/tex]

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

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

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

Let's analyze each of the equations and find out which one results in a different value for [tex]$ x $[/tex].

1. Equation 1: [tex]$ 8.3 = -0.6 x + 11.3 $[/tex]

To solve for [tex]$ x $[/tex], subtract 11.3 from both sides:

[tex]\[
8.3 - 11.3 = -0.6 x
\][/tex]
[tex]\[
-3.0 = -0.6 x
\][/tex]

Divide both sides by -0.6:

[tex]\[
x = \frac{-3.0}{-0.6} = 5.0
\][/tex]

2. Equation 2: [tex]$ 11.3 = 8.3 + 0.6 x $[/tex]

Subtract 8.3 from both sides:

[tex]\[
11.3 - 8.3 = 0.6 x
\][/tex]
[tex]\[
3.0 = 0.6 x
\][/tex]

Divide both sides by 0.6:

[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]

3. Equation 3: [tex]$ 11.3 - 0.6 x = 8.3 $[/tex]

Subtract 8.3 from both sides:

[tex]\[
11.3 - 8.3 = 0.6 x
\][/tex]
[tex]\[
3.0 = 0.6 x
\][/tex]

Solve for [tex]$ x $[/tex] by dividing both sides by 0.6:

[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]

4. Equation 4: [tex]$ 8.3 - 0.6 x = 11.3 $[/tex]

Subtract 8.3 from both sides:

[tex]\[
-0.6 x = 11.3 - 8.3
\][/tex]
[tex]\[
-0.6 x = 3.0
\][/tex]

Divide both sides by -0.6:

[tex]\[
x = \frac{3.0}{-0.6} = -5.0
\][/tex]

As we can observe, the solutions for the first three equations result in [tex]$ x = 5.0 $[/tex], while the fourth equation solves to [tex]$ x = -5.0 $[/tex]. Therefore, the equation that results in a different value of [tex]$ x $[/tex] is the fourth one:

[tex]\[
8.3 - 0.6 x = 11.3
\][/tex]