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Solve for $t$ . $\newline$ $-5|t| = -5$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $t =$ _ or $t =$ _

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Solve absolute value equations

Full solution

Q. Solve for

t

.

\newline

-5|t| = -5

\newline

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

\newline

t =

_____ or

t =

_____

Divide by $-5$ : Given the equation $-5|t| = -5$ , we want to isolate $|t|$ . To do this, we divide both sides of the equation by $-5$ . $\newline$ Calculation: $(-5|t|) / -5 = -5 / -5$ $\newline$ $|t| = 1$
Find values of $\newline$ $t$ : Now that we have $\newline$ $|t| = 1$ , we can find the values of $\newline$ $t$ . The absolute value equation $\newline$ $|t| = 1$ means that $\newline$ $t$ can be either $\newline$ $1$ or $\newline$ $-1$ because the absolute value of both $\newline$ $1$ and $\newline$ $-1$ is $\newline$ $1$ . $\newline$ Values of $\newline$ $t$ : $\newline$ $|t| = 1$ $1$ or $\newline$ $|t| = 1$ $2$

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\newline

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\newline

1

\newline

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\newline

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\newline

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\newline

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