Samuel’s air conditioning unit stopped working. He has to find a repair company to fix the unit. He decides to compare the costs of two companies based on their service fees and labor costs. • Cool Air Plus charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform.
• Cool Breeze Air charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform.

The system of linear equations shown can be used to represent this situation. In the system of linear equations, h represents the amount of time (in hours) it takes the company to perform the work and c represents the total cost (in dollars) of the air conditioning work performed by the company.

{25h+25=c15h+40=c

• Determine the point in time, in hours, when the two companies cost the same amount of money.
• Identify the cost of the repairs, in dollars, when the two companies cost the same amount of money.

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