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Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixing the problem. The expression 103x + 64 represents an electronic store's total charges in dollars for the same work. In both expressions, x is the number of hours it took to complete the job.

Sagot :

Answer:

2 hours

Step-by-step explanation:

Given

[tex]Contractor: 81x + 108[/tex]

[tex]Electronic\ Store: 103x + 64[/tex]

Required

Determine the hours when the charges are the same

To do this, we simply equate both expressions:

[tex]Contractor = Electronic\ Store[/tex]

[tex]81x + 108 = 103x + 64[/tex]

Collect Like Terms

[tex]81x - 103x = 64 - 108[/tex]

[tex]-22x = -44[/tex]

Divide both sides by -22

[tex]x =2[/tex]