SOLUTION: The product of some number and six is equal to the sum of the number and two. find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of some number and six is equal to the sum of the number and two. find the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 927540: The product of some number and six is equal to the sum of the number and two. find the number
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Since the number is an unknown value, we can substitute a variable in to express it below.
The product of the number and six can be expressed as:
+6x+
The sum of the number and two can be expressed as:
+x+%2B+2+
Since they equal each other, we shall express it as:
+6x+=+x+%2B+2+
Through properties of equality, we can deduce that the answer will be:
+6x+=+x+%2B+2+
+6x+-+x+=+x+-+x+%2B+2+
+5x+=+2+
+%285x%29%2F5+=+2%2F5+
+x+=+2%2F5+
We can also check our answer to verify if this solution are true to both equation.
+6%282%2F5%29+=+12%2F5+

+2%2F5+%2B+2+=+2%2F5+%2B+10%2F5+
+2%2F5+%2B+10%2F5+=+12%2F5+
+12%2F5+=+12%2F5+