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Fofino [41]
4 years ago
3

Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 eq

uals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below. Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4. StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4. StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4. When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ? –1 –negative StartFraction one-half EndFraction 0 StartFraction one-half EndFraction.
Mathematics
2 answers:
prohojiy [21]4 years ago
6 0

Answer:

  x = 0

Step-by-step explanation:

<u>Given</u>

Karissa begins to solve the equation ...

  \dfrac{1}{2}(x-14)+11=\dfrac{1}{2}x-(x-4)

Her work is correct and is shown below. Three lines of math.

  \dfrac{1}{2}(x-14)+11=\dfrac{1}{2}x-(x-4)\qquad\text{given}\\\\\dfrac{1}{2}x-7+11=\dfrac{1}{2}x-x+4\qquad\text{eliminate parentheses}\\\\\dfrac{1}{2}x+4=-\dfrac{1}{2}x+4\qquad\text{collect terms}

When she subtracts 4 from both sides, the result is ...

  \dfrac{1}{2}x=-\dfrac{1}{2}x

<u>Find</u>

What is the value of x?

<u>Solution</u>

Karissa can determine the value of x by adding 1/2x to both sides:

  x=0

Alexxandr [17]4 years ago
3 0

Answer:

Option C (0)

Step-by-step explanation:

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