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Answer :
We can solve each equation for [tex]\( x \)[/tex] as follows:
1. Equation 1:
[tex]\[
8.3 = -0.6x + 11.3
\][/tex]
Subtract [tex]\( 11.3 \)[/tex] from both sides:
[tex]\[
8.3 - 11.3 = -0.6x \quad \Longrightarrow \quad -3.0 = -0.6x
\][/tex]
Divide both sides by [tex]\(-0.6\)[/tex]:
[tex]\[
x = \frac{-3.0}{-0.6} = 5.0
\][/tex]
2. Equation 2:
[tex]\[
11.3 = 8.3 + 0.6x
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from both sides:
[tex]\[
11.3 - 8.3 = 0.6x \quad \Longrightarrow \quad 3.0 = 0.6x
\][/tex]
Divide by [tex]\( 0.6 \)[/tex]:
[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]
3. Equation 3:
[tex]\[
11.3 - 0.6x = 8.3
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from [tex]\( 11.3 \)[/tex] on the left:
[tex]\[
11.3 - 8.3 = 0.6x \quad \Longrightarrow \quad 3.0 = 0.6x
\][/tex]
Divide by [tex]\( 0.6 \)[/tex]:
[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]
4. Equation 4:
[tex]\[
8.3 - 0.6x = 11.3
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from both sides:
[tex]\[
-0.6x = 11.3 - 8.3 \quad \Longrightarrow \quad -0.6x = 3.0
\][/tex]
Divide by [tex]\(-0.6\)[/tex]:
[tex]\[
x = \frac{3.0}{-0.6} = -5.0
\][/tex]
Comparing the results, we see that Equations 1, 2, and 3 all lead to [tex]\( x = 5.0 \)[/tex], while Equation 4 gives [tex]\( x = -5.0 \)[/tex].
Thus, the equation that results in a different value of [tex]\( x \)[/tex] is:
[tex]\[
\boxed{8.3 - 0.6x = 11.3}
\][/tex]
1. Equation 1:
[tex]\[
8.3 = -0.6x + 11.3
\][/tex]
Subtract [tex]\( 11.3 \)[/tex] from both sides:
[tex]\[
8.3 - 11.3 = -0.6x \quad \Longrightarrow \quad -3.0 = -0.6x
\][/tex]
Divide both sides by [tex]\(-0.6\)[/tex]:
[tex]\[
x = \frac{-3.0}{-0.6} = 5.0
\][/tex]
2. Equation 2:
[tex]\[
11.3 = 8.3 + 0.6x
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from both sides:
[tex]\[
11.3 - 8.3 = 0.6x \quad \Longrightarrow \quad 3.0 = 0.6x
\][/tex]
Divide by [tex]\( 0.6 \)[/tex]:
[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]
3. Equation 3:
[tex]\[
11.3 - 0.6x = 8.3
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from [tex]\( 11.3 \)[/tex] on the left:
[tex]\[
11.3 - 8.3 = 0.6x \quad \Longrightarrow \quad 3.0 = 0.6x
\][/tex]
Divide by [tex]\( 0.6 \)[/tex]:
[tex]\[
x = \frac{3.0}{0.6} = 5.0
\][/tex]
4. Equation 4:
[tex]\[
8.3 - 0.6x = 11.3
\][/tex]
Subtract [tex]\( 8.3 \)[/tex] from both sides:
[tex]\[
-0.6x = 11.3 - 8.3 \quad \Longrightarrow \quad -0.6x = 3.0
\][/tex]
Divide by [tex]\(-0.6\)[/tex]:
[tex]\[
x = \frac{3.0}{-0.6} = -5.0
\][/tex]
Comparing the results, we see that Equations 1, 2, and 3 all lead to [tex]\( x = 5.0 \)[/tex], while Equation 4 gives [tex]\( x = -5.0 \)[/tex].
Thus, the equation that results in a different value of [tex]\( x \)[/tex] is:
[tex]\[
\boxed{8.3 - 0.6x = 11.3}
\][/tex]
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