The product of a number and seven is equal to two more than the number

The product of a number and seven is equal to two more than the number

Question
Equations and inequalities
asked 2021-03-18
The product of a number and seven is equal to two more than the number

Answers (1)

2021-03-19
Let x be the number so we can write the equation:
\(\displaystyle{\left({x}\right)}{\left({7}\right)}={x}+{2}\)
or
\(\displaystyle{7}{x}={x}+{2}\)
Subtract x from both sides:
\(\displaystyle{6}{x}={2}\)
Divide both sides by 6:
\(\displaystyle{x}={\frac{{{2}}}{{{6}}}}\)
\(\displaystyle{x}={\frac{{{1}}}{{{3}}}}\)
So, the number is \frac{1}{3}.
0

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