Answer :
To figure out which equation results in a different value of [tex]\( x \)[/tex] than the others, we'll solve each equation one at a time.
1. Equation: [tex]\( 8.3 = -0.6x + 11.3 \)[/tex]
- Subtract 11.3 from both sides:
[tex]\[
8.3 - 11.3 = -0.6x \Rightarrow -3 = -0.6x
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]
2. Equation: [tex]\( 11.3 = 8.3 + 0.6x \)[/tex]
- Subtract 8.3 from both sides:
[tex]\[
11.3 - 8.3 = 0.6x \Rightarrow 3 = 0.6x
\][/tex]
- Divide both sides by 0.6:
[tex]\[
x = \frac{3}{0.6} = 5
\][/tex]
3. Equation: [tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
- Subtract 11.3 from both sides:
[tex]\[
-0.6x = 8.3 - 11.3 \Rightarrow -0.6x = -3
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]
4. Equation: [tex]\( 8.3 - 0.6x = 11.3 \)[/tex]
- Subtract 8.3 from both sides:
[tex]\[
-0.6x = 11.3 - 8.3 \Rightarrow -0.6x = 3
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{3}{-0.6} = -5
\][/tex]
After solving each equation, we observe that three of the equations yield [tex]\( x = 5 \)[/tex], but the last equation results in [tex]\( x = -5 \)[/tex]. Therefore, the equation [tex]\( 8.3 - 0.6x = 11.3 \)[/tex] leads to a different value of [tex]\( x \)[/tex] compared to the others.
1. Equation: [tex]\( 8.3 = -0.6x + 11.3 \)[/tex]
- Subtract 11.3 from both sides:
[tex]\[
8.3 - 11.3 = -0.6x \Rightarrow -3 = -0.6x
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]
2. Equation: [tex]\( 11.3 = 8.3 + 0.6x \)[/tex]
- Subtract 8.3 from both sides:
[tex]\[
11.3 - 8.3 = 0.6x \Rightarrow 3 = 0.6x
\][/tex]
- Divide both sides by 0.6:
[tex]\[
x = \frac{3}{0.6} = 5
\][/tex]
3. Equation: [tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
- Subtract 11.3 from both sides:
[tex]\[
-0.6x = 8.3 - 11.3 \Rightarrow -0.6x = -3
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{-3}{-0.6} = 5
\][/tex]
4. Equation: [tex]\( 8.3 - 0.6x = 11.3 \)[/tex]
- Subtract 8.3 from both sides:
[tex]\[
-0.6x = 11.3 - 8.3 \Rightarrow -0.6x = 3
\][/tex]
- Divide both sides by -0.6:
[tex]\[
x = \frac{3}{-0.6} = -5
\][/tex]
After solving each equation, we observe that three of the equations yield [tex]\( x = 5 \)[/tex], but the last equation results in [tex]\( x = -5 \)[/tex]. Therefore, the equation [tex]\( 8.3 - 0.6x = 11.3 \)[/tex] leads to a different value of [tex]\( x \)[/tex] compared to the others.
