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Solve for $z$ . $\newline$ $-4 = |z| - 9$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $z =$ _ or $z =$ _

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Solve absolute value equations

Full solution

Q. Solve for

z

.

\newline

-4 = |z| - 9

\newline

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

\newline

z =

_____ or

z =

_____

Understand and Isolate: Understand the equation and isolate the absolute value. $\newline$ We have the equation $–4 = |z| − 9$ . To isolate the absolute value, we need to add $9$ to both sides of the equation. $\newline$ $-4 + 9 = |z| − 9 + 9$ $\newline$ $5 = |z|$
Solve for $z$ : Solve for $z$ . $\newline$ Since $|z| = 5$ , $z$ can be either $5$ or $-5$ because the absolute value of both $5$ and $-5$ is $5$ . $\newline$ So, $z = 5$ or $z$ $0$ .

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\newline

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\newline

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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\newline

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\newline

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