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Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 47.
you must also give the equation.

Sagot :

absor201

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]

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