The mathematical statements are illustrations of algebraic expression
The number is 37
What are algebraic expressions?
Algebraic expressions are expressions that make use of numbers and variables
Let the number be represented with x.
So, we have:
- Subtract 15 from x: x - 15
- Multiply by 3: 4(x - 15)
- Subtract 51: 4(x -15) - 51
- The result is: x
So, the equation becomes
[tex]4(x - 15) - 51 = x[/tex]
Open the bracket
[tex]4x - 60 - 51 = x[/tex]
[tex]4x -111 = x[/tex]
Collect like terms
[tex]4x -x = 111[/tex]
Evaluate the like terms
[tex]3x = 111[/tex]
Divide both sides by 3
[tex]x = 37[/tex]
Hence, the number is 37
Read more about algebraic expressions at:
https://brainly.com/question/4344214
