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Systems of Linear Equations

Math · Algebra · 66 questions · every one comes with a full explanation.

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  1. 1If satisfies the system of equations above, what is the value of y ?Hard · Algebra
  2. 2The system of equations above has solution (x, y). What is the value of x ?Medium · Algebra
  3. 332y-14x=23-32y 12x+32=py+92 In the given system of equations, p is a constant. If the system has no solution, what is the value of p ?Hard · Algebra
  4. 4Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 Easy · Algebra
  5. 55 x = 15 - 4 x + y = -2 The solution to the given system of equations is x,y. What is the value of x + y ?Easy · Algebra
  6. 6For the first line in the system: The line is horizontal. The line passes through the following points: (negative 4 comma 3) (0 comma 3) (2 comma 3) For the second line in the sEasy · Algebra
  7. 7A company that provides whale-watching tours takes groups of 21 people at a time. The company's revenue is 80 dollars per adult and 60 dollars per child. If the company's revenuMedium · Algebra
  8. 8At how many points do the graphs of the equations y = x + 20 and y = 8 x intersect in the xy-plane?Medium · Algebra
  9. 9y = 3 x 2 x + y = 12 The solution to the given system of equations is x,y. What is the value of 5 x ?Medium · Algebra
  10. 10A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents weMedium · Algebra
  11. 11A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $5. The premium ticket, which includes admission and food to give to the animals, costs $12Easy · Algebra
  12. 12x + y = 18 5 y = x What is the solution x,y to the given system of equations?Easy · Algebra
  13. 13y = 2 x + 10 y = 2 x - 1 At how many points do the graphs of the given equations intersect in the xy-plane?Medium · Algebra
  14. 144 x - 6 y =10y+2 ty=12+2x In the given system of equations, t is a constant. If the system has no solution, what is the value of t ?Hard · Algebra
  15. 15Which of the following graphs in the xy-plane could be used to solve the system of equations above?Medium · Algebra
  16. 16x = 10 y = x + 21 The solution to the given system of equations is x,y. What is the value of y ?Easy · Algebra
  17. 17y=-19x y=12x The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra
  18. 18A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour mph on the highwaMedium · Algebra
  19. 19What is the solution to the given system of equations?Easy · Algebra
  20. 20Which of the following points is the solution to the system of equations?Easy · Algebra
  21. 21During a month, Morgan ran r miles at 5 miles per hour and biked b miles at 10 miles per hour. She ran and biked a total of 200 miles that month, and she biked for twice as many hoHard · Algebra
  22. 22x + 3 = - 2 y + 5 x - 3 = 2 y + 7 The solution to the given system of equations is x,y. What is the value of 2 x ?Medium · Algebra
  23. 23If the system of equations above has solution , what is the value of ?Medium · Algebra
  24. 24In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?Medium · Algebra
  25. 25In the system of equations below, a and c are constants. If the system of equations has an infinite number of solutions , what is the value of a ?Hard · Algebra
  26. 26y = 4 x + 1 4 y = 15 x - 8 The solution to the given system of equations is x,y. What is the value of x-y?Hard · Algebra
  27. 27If is the solution to the system of equations above, what is the value of ?Hard · Algebra
  28. 284 x = 20 - 3 x + y = -7 The solution to the given system of equations is x,y. What is the value of x + y ?Easy · Algebra
  29. 29The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a scoMedium · Algebra
  30. 3048 x - 72 y = 30 y + 24 ry=16-16x In the given system of equations, r is a constant. If the system has no solution, what is the value of r ?Hard · Algebra
  31. 31y = 4 x - 9 y = 19 What is the solution x,y to the given system of equations?Easy · Algebra
  32. 3224 x + y = 48 6 x + y = 72 The solution to the given system of equations is (x,y). What is the value of y ?Hard · Algebra
  33. 33A movie theater sells two types of tickets, adult tickets for $12 and child tickets for $8. If the theater sold 30 tickets for a total of $300, how much, in dollars, was spent on aHard · Algebra
  34. 34x + 2 y = 6 x - 2 y = 4 The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra
  35. 35- 15 x + 25 y = 65 One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the Medium · Algebra
  36. 36x = 5 y = x - 8 Which of the following points x,y is the solution to the given system of equations in the xy-plane?Easy · Algebra
  37. 373x=12 -3x+y=-6 The solution to the given system of equations is x,y. What is the value of y ?Easy · Algebra
  38. 38Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $25.00 . Which system of equations represents this sEasy · Algebra
  39. 39A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 timeMedium · Algebra
  40. 405 x + 14 y = 45 10 x + 7 y = 27 The solution to the given system of equations is x,y. What is the value of x y ?Hard · Algebra
  41. 416 x + 7 y = 28 2 x + 2 y = 10 The solution to the given system of equations is x,y. What is the value of y?Medium · Algebra
  42. 42A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $26, and outfits for girls cost $35. The dance teacher ordered a total of 28 outfits and speEasy · Algebra
  43. 43In the system of equations above, c is a constant. If the system has no solution, what is the value of c ?Hard · Algebra
  44. 44If is the solution to the given system of equations, what is the value of y ?Easy · Algebra
  45. 45In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a ?Hard · Algebra
  46. 468 x + 7 y = 9 24 x + 21 y = 27 For each real number r , which of the following points lies on the graph of each equation in the xy-plane for the Hard · Algebra
  47. 47y=-3x 4x+y=15 The solution to the given system of equations is x,y. What is the value of x ?Easy · Algebra
  48. 48Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain puHard · Algebra
  49. 49Which of the following systems of linear equations has no solution?Medium · Algebra
  50. 50Which of the following systems of linear equations has no solution?Medium · Algebra
  51. 51In the solution to the system of equations above, what is the value of y ?Medium · Algebra
  52. 524 x - 9 y = 9 y + 5 hy=2+4x In the given system of equations, h is a constant. If the system has no solution, what is the value of h ?Hard · Algebra
  53. 53One of the two equations in a linear system is . The system has no solution. Which of the following could be the other equation in the system?Hard · Algebra
  54. 54Which of the following systems of equations has the same solution as the system of equations graphed above?Medium · Algebra
  55. 55If is the solution to the given system of equations, what is the value of y ?Easy · Algebra
  56. 56A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A sMedium · Algebra
  57. 572x+3y=7 10x+15y=35 For each real number r , which of the following points lies on the graph of each equation in the xy-plane for the given system?Hard · Algebra
  58. 58y = 6 x + 18 One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?Hard · Algebra
  59. 59An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined Easy · Algebra
  60. 60In the solution to the system of equations above, what is the value of x ?Medium · Algebra