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write a system of equations and solve
a class of 195 students went on a field trip. They took 7 vehicles,some cars and some buses. find the number of cars and number of buses they took if each car holds 5 students and each bus holds 45 students. 

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[tex]c+b=7[/tex]
[tex]5c+45b=195[/tex]

[tex]c+b=7 [/tex] --> [tex] c=7-b[/tex]
[tex]5c+45b=195[/tex]

[tex]5(7-b)+45b=195[/tex]
[tex]35-5b+45b=195[/tex]
[tex]35+40b=195[/tex]
[tex]40b=160[/tex]
[tex]b=4[/tex]

[tex]c+(4)=7[/tex]
[tex]c=3[/tex]

[tex]cars:3 \\ buses:4[/tex]

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