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An Accountant using the expressions (4a+3b-6c) and (5a+c) to calculate the total compensation for employees in two different departments of a business.

What is the sum of the two expressions?​

Answer :

absor201

Answer:

The sum of two expressions will be:

  • [tex]\left(4a+3b-6c\right)+\left(5a+c\right)=9a+3b-5c[/tex]

Step-by-step explanation:

Given the expressions

  • [tex](4a+3b-6c)[/tex]
  • [tex](5a+c)[/tex]

Let us calculate the sum of two expressions

[tex]\left(4a+3b-6c\right)+\left(5a+c\right)[/tex]

Remove the parentheses: (a)=a

[tex]=4a+3b-6c+5a+c[/tex]

Group like terms

[tex]=4a+5a+3b-6c+c[/tex]

Add similar elements:  4a+5a=9a

[tex]=9a+3b-6c+c[/tex]

Add similar elements:  -6c+c=-5c

[tex]=9a+3b-5c[/tex]

Thus, the sum of two expressions will be:

  • [tex]\left(4a+3b-6c\right)+\left(5a+c\right)=9a+3b-5c[/tex]

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