Question #cef64

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Question #cef64

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Answer 1 · 2018-01-31T04:13:18

The number is $2$ $2$ .

Explanation:

The answer is $2$ $2$ because $2 \times 2 + 3$ $2 xx 2 + 3$ equals $7$ $7$ , whereas $2$ $2$ subtracted from $9$ $9$ is also $7$ $7$ .

I hope that helps!

Answer 2 · 2018-01-31T05:43:40

$x = 2$ $x=2$

Explanation:

Let x= the number

The statements;

$1 . 3 more than twice a number$ $1. color(red)("3 more than twice a number"$ is written in algebraic expression as $2 x + 3$ $color(red)(2x+3$ ; and
$2 . the number subtracted from 9$ $2. color(blue)("the number subtracted from 9"$ is written in algebraic expression as $9 - x$ $9-x$

Now, equate these expression to form an equation as described; i.e.,

$2 x + 3 = 9 - x$ $2x+3=9-x$ , then combine like terms
$2 x + x = 9 - 3$ $2x+x=9-3$ , simplify
$3 x = 6$ $3x=6$ , isolate x by dividing each term by 3
$(cancel(3)x)/cancel((3))=cancel((6)2)/cancel(3)$ , simplify and find the value of x
$x=2$

Check:

Substitute the value of $x=2$

$2x+3=9-x$
$2(2)+3=9-2$
$4+3=7$
$7=7$

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Question #cef64

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