Given:
A number is q, multiply it by 2 and add 5.
You get the same answer as when you minus 2 from q.
To find:
The value of q.
Solution:
The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is
Multiply q by 2 = 2q
Multiply q by 2 and then add 5 : 2q + 5
So, the first result is 2q+5.
When you minus 2 from q = q-2
So, the second result is q-2.
According to the question, both results are equal. Equate both results to get the value of q.
[tex]2q+5=q-2[/tex]
Isolate variable terms.
[tex]2q-q=-5-2[/tex]
[tex]q=-7[/tex]
Therefore, the value of q is -7.
