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Solve for $m$ . $\newline$ $|2m| = 6$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $m =$ _ or $m =$ _

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Solve absolute value equations

Full solution

Q. Solve for

m

.

\newline

|2m| = 6

\newline

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

\newline

m =

_____ or

m =

_____

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $|2m| = 6$ means that the absolute value of $2m$ is equal to $6$ . This implies that $2m$ can either be $6$ or $-6$ because the absolute value of a number is always non-negative.
Set up two equations: Set up two separate equations to solve for $m$ . Since $|2m|$ can be $6$ or $-6$ , we can write two equations: $1$ ) $2m = 6$ $2$ ) $2m = -6$
Solve first equation for m: Solve the first equation for $m$ . Divide both sides of the equation $2m = 6$ by $2$ to isolate $m$ . $m = \frac{6}{2}$ $m = 3$
Solve second equation for m: Solve the second equation for $m$ . $\newline$ Divide both sides of the equation $2m = -6$ by $2$ to isolate $m$ . $\newline$ $m = \frac{-6}{2}$ $\newline$ $m = -3$

More problems from Solve absolute value equations

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3 n^{2}=27

\newline

What are the solutions to the given equation?

\newline

1

\newline

n=\sqrt{3}

\newline

n=3

\newline

n=-\sqrt{3}

n=\sqrt{3}

\newline

n=-3

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\newline

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Question

\$200

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\newline

1

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