The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5 fuel injection units and 10 transmissions and billed 70 hours. This week, they changed 8 fuel injection units and 8 transmissions and billed 64 hours. Let x represent the number of hours to change a fuel injection unit and y represent the number of hours to change a transmission. What is the solution to the system that represents this scenario?(5, 8)(2, 6)(4, 14)(7, 8)
Accepted Solution
A:
Answer:The solution is (2,6)Step-by-step explanation:Letx-----> the number of hours to change a fuel injection unity-----> the number of hours to change a transmissionwe know that5x+10y=70 -----> equation A8x+8y=64 -----> equation BSolve the system of equations by graphingRemember that the solution of the system of equations is the intersection point both graphsThe solution is the point (2,6)see the attached figure