Question

Question #cef64

Answer 1

The number is `2`.

Explanation:

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

I hope that helps!

Answer 2

`x=2`

Explanation:

Let x= the number

The statements;

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

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

`2x+3=9-x`, then combine like terms
`2x+x=9-3`, simplify
`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`