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Systems of Linear Equations

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

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  1. 1The system of equations above has solution (x, y). What is the value of x ?Medium · Algebra
  2. 2A 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
  3. 3At how many points do the graphs of the equations y = x + 20 and y = 8 x intersect in the xy-plane?Medium · Algebra
  4. 4y = 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
  5. 5A 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
  6. 6y = 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
  7. 7Which of the following graphs in the xy-plane could be used to solve the system of equations above?Medium · Algebra
  8. 8y=-19x y=12x The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra
  9. 9A 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
  10. 10x + 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
  11. 11If the system of equations above has solution , what is the value of ?Medium · Algebra
  12. 12In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?Medium · Algebra
  13. 13The 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
  14. 14x + 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
  15. 15- 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
  16. 16A 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
  17. 176 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
  18. 18Which of the following systems of linear equations has no solution?Medium · Algebra
  19. 19Which of the following systems of linear equations has no solution?Medium · Algebra
  20. 20In the solution to the system of equations above, what is the value of y ?Medium · Algebra
  21. 21Which of the following systems of equations has the same solution as the system of equations graphed above?Medium · Algebra
  22. 22A 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
  23. 23In the solution to the system of equations above, what is the value of x ?Medium · Algebra
  24. 24x + 3 y = 29 3 y = 11 The solution to the given system of equations is x,y. What is the value of x ?Medium · Algebra