The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
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Building and solving the expression, it is found that the number is -3.
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They are equivalent, thus:
[tex]x - 5 = 1 + 3x[/tex]
Solving for x.
[tex]3x - x = -5 - 1[/tex]
[tex]2x = -6[/tex]
[tex]x = -\frac{6}{2}[/tex]
[tex]x = -3[/tex]
The number is -3.
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