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Answer :
Certainly! Let's look at each equation to identify which one results in a different value of [tex]\( x \)[/tex] compared to the others.
1. Equation 1: [tex]\( 8.3 = -0.6x + 11.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 11.3 from both sides:
[tex]\( 8.3 - 11.3 = -0.6x \)[/tex]
- Simplify:
[tex]\( -3 = -0.6x \)[/tex]
- Divide by -0.6:
[tex]\( x = 5 \)[/tex]
2. Equation 2: [tex]\( 11.3 = 8.3 + 0.6x \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( 11.3 - 8.3 = 0.6x \)[/tex]
- Simplify:
[tex]\( 3 = 0.6x \)[/tex]
- Divide by 0.6:
[tex]\( x = 5 \)[/tex]
3. Equation 3: [tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( 11.3 - 8.3 = 0.6x \)[/tex]
- Simplify:
[tex]\( 3 = 0.6x \)[/tex]
- Divide by 0.6:
[tex]\( x = 5 \)[/tex]
4. Equation 4: [tex]\( 8.3 - 0.6x = 11.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( -0.6x = 11.3 - 8.3 \)[/tex]
- Simplify:
[tex]\( -0.6x = 3 \)[/tex]
- Divide by -0.6:
[tex]\( x = -5 \)[/tex]
After solving all the equations, we observe that Equations 1, 2, and 3 all have a solution of [tex]\( x = 5 \)[/tex], whereas Equation 4 has a solution of [tex]\( x = -5 \)[/tex]. Therefore, Equation 4 results in a different value of [tex]\( x \)[/tex] than the others.
1. Equation 1: [tex]\( 8.3 = -0.6x + 11.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 11.3 from both sides:
[tex]\( 8.3 - 11.3 = -0.6x \)[/tex]
- Simplify:
[tex]\( -3 = -0.6x \)[/tex]
- Divide by -0.6:
[tex]\( x = 5 \)[/tex]
2. Equation 2: [tex]\( 11.3 = 8.3 + 0.6x \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( 11.3 - 8.3 = 0.6x \)[/tex]
- Simplify:
[tex]\( 3 = 0.6x \)[/tex]
- Divide by 0.6:
[tex]\( x = 5 \)[/tex]
3. Equation 3: [tex]\( 11.3 - 0.6x = 8.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( 11.3 - 8.3 = 0.6x \)[/tex]
- Simplify:
[tex]\( 3 = 0.6x \)[/tex]
- Divide by 0.6:
[tex]\( x = 5 \)[/tex]
4. Equation 4: [tex]\( 8.3 - 0.6x = 11.3 \)[/tex]
To solve for [tex]\( x \)[/tex]:
- Subtract 8.3 from both sides:
[tex]\( -0.6x = 11.3 - 8.3 \)[/tex]
- Simplify:
[tex]\( -0.6x = 3 \)[/tex]
- Divide by -0.6:
[tex]\( x = -5 \)[/tex]
After solving all the equations, we observe that Equations 1, 2, and 3 all have a solution of [tex]\( x = 5 \)[/tex], whereas Equation 4 has a solution of [tex]\( x = -5 \)[/tex]. Therefore, Equation 4 results in a different value of [tex]\( x \)[/tex] than the others.
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