Answer :
To determine which equation results in a different value of [tex]\( x \)[/tex] compared to the others, let's solve each equation one by one.
1. Equation 1:
[tex]\( 8.3 = -0.8x + 11.3 \)[/tex]
Subtract 11.3 from both sides to get the terms involving [tex]\( x \)[/tex]:
[tex]\( 8.3 - 11.3 = -0.8x \)[/tex]
[tex]\( -3.0 = -0.8x \)[/tex]
Divide both sides by -0.8 to solve for [tex]\( x \)[/tex]:
[tex]\( x = \frac{-3.0}{-0.8} = 3.75 \)[/tex]
2. Equation 2:
It seems there's an issue with this equation, as it wasn't written completely; generally, it's meant to represent a complete equation like those we're solving. Hence, we can't deduce a specific [tex]\( x \)[/tex] value from this equation. This results in us not being able to align it with the others for comparison.
3. Equation 3:
[tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
Subtract 11.3 from both sides:
[tex]\( 8.3 - 11.3 = -0.6x \)[/tex]
[tex]\( -3.0 = -0.6x \)[/tex]
Divide both sides by -0.6:
[tex]\( x = \frac{-3.0}{-0.6} = 5.0 \)[/tex]
4. Equation 4:
[tex]\( 8.3 - 0.6x = 113 \)[/tex]
Subtract 8.3 from both sides:
[tex]\( 113 - 8.3 = -0.6x \)[/tex]
[tex]\( 104.7 = -0.6x \)[/tex]
Divide both sides by -0.6:
[tex]\( x = \frac{104.7}{-0.6} = -174.5 \)[/tex]
From the solutions above:
- Equation 1 results in [tex]\( x = 3.75 \)[/tex].
- Equation 3 results in [tex]\( x = 5.0 \)[/tex].
- Equation 4 results in [tex]\( x = -174.5 \)[/tex].
The equation that results in a different value of [tex]\( x \)[/tex] than the others is Equation 4, as it significantly differs from the solutions of the other equations.
1. Equation 1:
[tex]\( 8.3 = -0.8x + 11.3 \)[/tex]
Subtract 11.3 from both sides to get the terms involving [tex]\( x \)[/tex]:
[tex]\( 8.3 - 11.3 = -0.8x \)[/tex]
[tex]\( -3.0 = -0.8x \)[/tex]
Divide both sides by -0.8 to solve for [tex]\( x \)[/tex]:
[tex]\( x = \frac{-3.0}{-0.8} = 3.75 \)[/tex]
2. Equation 2:
It seems there's an issue with this equation, as it wasn't written completely; generally, it's meant to represent a complete equation like those we're solving. Hence, we can't deduce a specific [tex]\( x \)[/tex] value from this equation. This results in us not being able to align it with the others for comparison.
3. Equation 3:
[tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
Subtract 11.3 from both sides:
[tex]\( 8.3 - 11.3 = -0.6x \)[/tex]
[tex]\( -3.0 = -0.6x \)[/tex]
Divide both sides by -0.6:
[tex]\( x = \frac{-3.0}{-0.6} = 5.0 \)[/tex]
4. Equation 4:
[tex]\( 8.3 - 0.6x = 113 \)[/tex]
Subtract 8.3 from both sides:
[tex]\( 113 - 8.3 = -0.6x \)[/tex]
[tex]\( 104.7 = -0.6x \)[/tex]
Divide both sides by -0.6:
[tex]\( x = \frac{104.7}{-0.6} = -174.5 \)[/tex]
From the solutions above:
- Equation 1 results in [tex]\( x = 3.75 \)[/tex].
- Equation 3 results in [tex]\( x = 5.0 \)[/tex].
- Equation 4 results in [tex]\( x = -174.5 \)[/tex].
The equation that results in a different value of [tex]\( x \)[/tex] than the others is Equation 4, as it significantly differs from the solutions of the other equations.
