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Solve for $u$ . $\newline$ $-7 = -7|u|$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $u =$ _ or $u =$ _

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Solve absolute value equations

Full solution

Q. Solve for

u

.

\newline

-7 = -7|u|

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

u =

_____ or

u =

_____

Divide by $-7$ : Given the equation $-7 = -7|u|$ , we want to isolate $|u|$ . To do this, we divide both sides of the equation by $-7$ .
$\frac{-7}{-7} = \frac{-7|u|}{-7}$
$1 = |u|$
Find values of $\newline$ $u$ : Now that we have $\newline$ $|u| = 1$ , we can find the values of $\newline$ $u$ . The absolute value equation $\newline$ $|u| = 1$ means that $\newline$ $u$ can be either $\newline$ $1$ or $\newline$ $-1$ because the absolute value of both $\newline$ $1$ and $\newline$ $-1$ is $\newline$ $1$ . $\newline$ So, $\newline$ $|u| = 1$ $0$ or $\newline$ $|u| = 1$ $1$ .

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\newline

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\newline

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Question

\$200

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\newline

1

\newline

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