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Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following

Find the incorrect step in Noah's work and explain why it is incorrect

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Noah wanted to check his solution of x 145 for the equation 12 7x 6 6x 10 substituting 145 for x he writes the following Find the incorrect step in Noahs work a class=

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DWRead

Answer:

Line 4 is incorrect. Noah applied the distributive rule incorrectly.

Step-by-step explanation:

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The incorrect step in Noah's work is fourth step that is :

[tex]7.14-6=12.14-20[/tex]

We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]

Substituting [tex]x=\frac{14}{5}[/tex] in the given equation

[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]

So, here in the given solution we observe that the fourth step is incorrect.

Since 5 is not multiplied to 6 and 20.

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