number - n
Twice a number - 2n
Seven times the number - 7n
2n = 7n +35
7n-2n = -35
5n = -35
n = - 7
Check:
2(-7) = 7(-7) +35
-14 = -49 + 35
-14 = -14 True
The number is (- 7).
The unknown number is -7.
To form an algebraic equation to find the unknown number, take the following steps;
Now, we can form algebraic equation and solve for the unknown number as follows;
2n = 35 + 7n
collect similar terms together;
2n - 7n = 35
-5n = 35
divide both sides of the equation by -5;
[tex]n = \frac{-35}{5} \\\\\n = -7[/tex]
Thus, the unknown number is -7.
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