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Solve for all values of
x in simplest form.

5|5x-4|+7=62
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $5|5 x-4|+7=62$ $\newline$ Answer: $x=$

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Solve absolute value equations

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

5|5 x-4|+7=62

\newline

Answer:

x=

Isolate absolute value expression: Isolate the absolute value expression. $\newline$ Subtract $7$ from both sides of the equation. $\newline$ $5|5x - 4| + 7 - 7 = 62 - 7$ $\newline$ $5|5x - 4| = 55$
Divide by $5$ : Divide both sides by $5$ to solve for the absolute value expression. $\newline$ $(5|5x - 4|) / 5 = 55 / 5$ $\newline$ $|5x - 4| = 11$
Set up two equations: Set up two equations to account for the absolute value. $5x - 4 = 11$ and $5x - 4 = -11$
Solve first equation for x: Solve the first equation for x. $\newline$ $5x - 4 = 11$ $\newline$ Add $4$ to both sides. $\newline$ $5x = 15$ $\newline$ Divide by $5$ . $\newline$ $x = \frac{15}{5}$ $\newline$ $x = 3$
Solve second equation for x: Solve the second equation for x. $\newline$ $5x - 4 = -11$ $\newline$ Add $4$ to both sides. $\newline$ $5x = -11 + 4$ $\newline$ $5x = -7$ $\newline$ Divide by $5$ . $\newline$ $x = -7 / 5$ $\newline$ $x = -1.4$

More problems from Solve absolute value equations

Question

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

n=3

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\frac{1}{2} c^{2}+3 c=1

\newline

c=f

c=g

be the solutions to the given equation. If

f>g

, which of the following is the value of

f

\newline

1

\newline

-3+\sqrt{2}

\newline

-3+\sqrt{11}

\newline

3+\sqrt{2}

\newline

3+\sqrt{11}

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x=

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Find the value of `x`

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Question

\$200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only t-shirts, he will get

80

t-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of t-shirts,

t

, that Aiden could purchase with this money?

\newline

1

\newline

40h+80t=400

\newline

80h+40t=200

\newline

5h+2.5t=200

\newline

2.5h+5t=200

Posted 2 months ago