How do you solve $\frac{| x |}{7} = 5$ $absx/7=5$ ?

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How do you solve $\frac{| x |}{7} = 5$ $absx/7=5$ ?

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Answer 1 · 2016-08-15T19:57:25

$x = - 35$ $x=-35$ and $x = 35$ $x=35$

Explanation:

From the definition of absolute value we know that
when $x \geq 0$ $x>=0$ , $| x | = x$ $|x|=x$ and when $x < 0$ $x<0$ , $| x | = - x$ $|x|=-x$ therefore we have two equations to solve.....

$\frac{x}{7} = 5$ $x/7=5$ and $\frac{- x}{7} = 5$ $(-x)/7=5$

Just solve each for $x$ $x$

$x = 7 (5)$ $x=7(5)$

$x = 35$ $x=35$

$- x = 7 (5)$ $-x=7(5)$

$- x = 35$ $-x=35$

Divide both sides by $- 1$ $-1$

$x = - 35$ $x=-35$

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How do you solve $\frac{| x |}{7} = 5$ $absx/7=5$ ?

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How do you solve |x|7=5absx/7=5?

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How do you solve $\frac{| x |}{7} = 5$ $absx/7=5$ ?