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Which equation, when solved, results in a different value of [tex]x[/tex] than the other three?

A. [tex]8.3 = -0.6x + 11.3[/tex]
B. [tex]11.3 = 8.3 + 0.6x[/tex]
C. [tex]11.3 - 0.6x = 8.3[/tex]
D. [tex]8.3 - 0.6x = 11.3[/tex]



Answer :

GinnyAnswer
Let's solve each of the four given equations step-by-step to find the value of [tex]\( x \)[/tex].

### Solve the first equation:
[tex]\[ 8.3 = -0.6x + 11.3 \][/tex]

1. Subtract 11.3 from both sides:
[tex]\[ 8.3 - 11.3 = -0.6x \][/tex]
[tex]\[ -3 = -0.6x \][/tex]

2. Divide by -0.6:
[tex]\[ x = \frac{-3}{-0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

### Solve the second equation:
[tex]\[ 11.3 = 8.3 + 0.6x \][/tex]

1. Subtract 8.3 from both sides:
[tex]\[ 11.3 - 8.3 = 0.6x \][/tex]
[tex]\[ 3 = 0.6x \][/tex]

2. Divide by 0.6:
[tex]\[ x = \frac{3}{0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

### Solve the third equation:
[tex]\[ 11.3 - 0.6x = 8.3 \][/tex]

1. Subtract 8.3 from both sides:
[tex]\[ 11.3 - 8.3 - 0.6x = 0 \][/tex]
[tex]\[ 3 = 0.6x \][/tex]

2. Divide by 0.6:
[tex]\[ x = \frac{3}{0.6} \][/tex]
[tex]\[ x = 5 \][/tex]

### Solve the fourth equation:
[tex]\[ 8.3 - 0.6x = 11.3 \][/tex]

1. Subtract 8.3 from both sides:
[tex]\[ 8.3 - 8.3 - 0.6x = 11.3 - 8.3 \][/tex]
[tex]\[ -0.6x = 3 \][/tex]

2. Divide by -0.6:
[tex]\[ x = \frac{3}{-0.6} \][/tex]
[tex]\[ x = -5 \][/tex]

### Conclusion
The first three equations:

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

all yield the solution:
[tex]\[ x = 5 \][/tex]

The fourth equation:

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

yields a different solution:
[tex]\[ x = -5 \][/tex]

Therefore, the equation that results in a different value of [tex]\( x \)[/tex] than the other three is:

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

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