RostonL645565 RostonL645565
  • 25-10-2022
  • Mathematics
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Nadine tried to solve the equation 12x - 19 equals -4 (3 x - 9) - 15 but made a mistake which line shows evidence of Nadines mistake

Nadine tried to solve the equation 12x 19 equals 4 3 x 9 15 but made a mistake which line shows evidence of Nadines mistake class=
Nadine tried to solve the equation 12x 19 equals 4 3 x 9 15 but made a mistake which line shows evidence of Nadines mistake class=

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SannidhiQ661976 SannidhiQ661976
  • 25-10-2022

Answer:

Line 4

Explanation:

The initial expression is:

12x - 19 = -4(3x - 9) - 15

The mistake was made on line 4, the correct steps to solve the expression are:

[tex]\begin{gathered} 12x-19=-4(3x-9)-15 \\ 12x-19=-12x+36-15 \\ 12x-19=-12x+21 \\ 24x-19=21 \\ 24x-19\textcolor{#FF7968}{+19}=21\textcolor{#FF7968}{+19} \\ \textcolor{#FF7968}{24x=40} \\ x=\frac{40}{24}=\frac{5}{3} \end{gathered}[/tex]

Because on line 4 they subtract 19 from the right side and the correct step is to add 19 to the right side.

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