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Algebra 1 Systems of Equations

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  • Solve:
    (4, 1)
  • Five years ago, the age of Niraj was seven times that of his son Girish. Five years from, his age will be three times that of his son. Represent this problem as linear equations in two variables.
    x = 7y - 30 and x = 3y + 10
  • Solve:
    (0, -3)
  • Find two numbers whose sum is 28 and difference is 2
    13 and 15
  • Phuong is checking the shipment, in which there are boxes of laser printers which cost $700 each and color monitors which cost $200 each. She sees that there are 30 boxes, and the order totals $15 000. Write a system of two equations.
    x + y = 30 and 700x + 200y = 15 000
  • Solve:
    (-5, 1)
  • Name two methods of solving systems of two equations.
    Substitution, Elimination.
  • Solve:
    (-2, 1)
  • Solve:
    infinitely many solutions
  • Solve
    infinitely many solutions
  • Solve:
    (-3, 2)
  • Solve:
    No solution
  • Solve
    no solution