Question 102788
 solve : 3 less than the quotient of a number and 7 is 6.
:
Just write what it says, (the word "is" usually means =)
:
Let x = "a number"
:
The quotient of a number and 7 = {{{x/7}}}
:
The equation:
{{{x/7}}} - 3 = 6
:
Add 3 to both sides:
{{{x/7}}} = 6 + 3
:
{{{x/7}}} = 9
:
Multiply equation by 7
7*{{{x/7}}} = 7*9
:
Cancel the 7's and you have:
x = 63
:
:
Check solution in original equation:
{{{63/7}}} - 3 = 6
9 - 3 = 6