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Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 3/5

A linear system models the cost of two services: C1=30+5hC_1 = 30 + 5h and C2=50+3hC_2 = 50 + 3h, where hh is hours. After how many hours are the costs equal?

  • A

    8

  • B

    5

  • C

    10

    check_circle
  • D

    12

Explanation

30+5h=50+3h30 + 5h = 50 + 3h → 2h=202h = 20 → h=10h = 10.

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