What is 5(x+17)=100?

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What is 5(x+17)=100?

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Answer 1 · 2018-02-22T13:17:42

$x = 3$ $x = 3$

Explanation:

$5 (x + 17) = 100$ $5 (x + 17) = 100$

$5 x + 85 = 100$ $5x + 85 = 100$

(* $5 \times 17 = 85$ $5 xx 17 = 85$ )

Using algebraic manipulation:

$5 x = 100 - 85$ $5x = 100 - 85$

$5 x = 15$ $5x = 15$

$x = \frac{15}{5}$ $x = 15/5$

$x = 3$ $x = 3$

Answer 2 · 2018-02-22T14:06:02

$x = 3$ $x=3$

Explanation:

Given: $5 (x + 17) = 100$ $5(x+17)=100$

$Approach 1 - shows usfull methods$ $color(blue)("Approach 1 - shows usfull methods")$

Multiply everything inside the brackets by the 5 that is outside

$5 x + 85 = 100$ $5x+85=100$

To 'get rid' of the 85 on the left subtract $85$ $color(red)(85)$ from BOTH sides

$color(green)(5x+ubrace(85color(red)(-85))=100color(red)(-85))$
$color(white)("dddddd")darr$
$color(green)(5x+color(white)("d.d")0color(white)("d.d")=color(white)("dd")15)$

To get rid of the $5$ from $5x$ divide both sides by $color(red)(5)$

$color(green)(5/color(red)(5) xcolor(white)("d")=color(white)("d")15/color(red)(5)$

But $5/5=1 and 1xx x = x$ and $15/5=3$ giving:

$color(green)(x=3)$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$color(blue)("Approach 2 - quicker as it uses less steps")$

$5(x+17)=100$

Divide both sides by 5

$x+17=20$

Subtract 17 from both sides

$x=3$

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What is 5(x+17)=100?

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