Question

The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number If x represents the number, which equation is correct for solving this problem?​

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Answer 1

`\large \boxed{\bf \sf \ \ \ 7x-9 = 3(x+2) \ \ \ }`

Explanation:

Hello,

x represents this number and we know that

the difference between seven times this number and 9

7*x - 9

is equal to three times the sum of this number and 2

3(x+2)

So we can write

`7x-9 =3(x+2) \\\\7x-9 =3x+6 \ \ \text{distributive law} \\\\7x-9-3x=3x+6-3x =6 \ \ \text{subtract 3x} \\\\4x-9+9=6+9 \ \text{add 9} \\\\4x=15 \ \ \text{divide by 4} \\\\ \boxed{x=(15)/(4)}\\`

Hope this helps.

Do not hesitate if you need further explanation.

Thank you