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solving the equation, james realized that he made an error. which step was the error and what is the correct answer?-4(10n - 6) = -406-40n - 6 = -406 STEP 1 -40n - 6 + 6 = -406 + 6 STEP 2-40n = -400 STEP 3-40 n/ -40= 400/ -40 STEP 4n=10 STEP 5

Sagot :

[tex]-4(10n-6)=-406[/tex]

1. You remove the parenthesis, the term outside the parenthesis affect each term in the parenthesis (you multiply -4 for each term in the parenthesis):

[tex]\begin{gathered} -4(10n)-4(-6)=-406 \\ -40n+24=-406 \end{gathered}[/tex]

The mistake was in the step 1 as the -4 was not multiplied for both terms in the parenthesis.

2. Substract 24 in both sides of the equation:

[tex]\begin{gathered} -40n+24-24=-406-24 \\ -40n=-430 \end{gathered}[/tex]

3. Divide into -40 both sides of the equation:

[tex]\begin{gathered} \frac{-40n}{-40}=\frac{-430}{-40} \\ \\ n=\frac{430}{40} \end{gathered}[/tex]

4. Simplify:

[tex]n=\frac{430}{40}=\frac{43}{4}=10.75[/tex]Then, the answer is n=10.75
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