Answer :
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Let the number be = n
- Twice the number n = 2n
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:[tex]2n+6-13 = 47[/tex]
Solving the algebraic expression
solving the equation for 'n'
[tex]2n+6-13 = 47[/tex]
[tex]2n-7=47[/tex]
Add 7 to both sides
[tex]2n-7+7=47+7[/tex]
Simplify
[tex]2n=54[/tex]
Divide both sides by 2
[tex]\frac{2n}{2}=\frac{54}{2}[/tex]
Simplify
[tex]n=27[/tex]