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66 items match · Math · Systems of two linear equations in two variables

Medium Math · Algebra · Systems of two linear equations in two variables · MCQ figure

In the solution to the system of equations above, what is the value of y ?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ

4 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 ?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ figure

One of the two equations in a linear system is 2 x plus 6 y, equals 10. The system has no solution. Which of the following could be the other equation in the system?

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Medium Math · Algebra · Systems of two linear equations in two variables · MCQ figure

Which of the following systems of equations has the same solution as the system of equations graphed above?

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Easy Math · Algebra · Systems of two linear equations in two variables · SPR figure

If the ordered pair x comma y is the solution to the given system of equations, what is the value of y ?

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Medium Math · Algebra · Systems of two linear equations in two variables · MCQ

A 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 social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ

2x+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?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ

y = 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?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

An 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 selling price of $20, how many novels did she purchase?

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Medium Math · Algebra · Systems of two linear equations in two variables · SPR figure

In the solution x comma y to the system of equations above, what is the value of x ?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y, for $250 each. For a particular flight, the airline sold 120 tickets and collected a total of $27,600 from the sale of those tickets. Which system of equations represents this relationship between x and y ?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

A movie theater charges $11 for each full-price ticket and $8.25 for each reduced-price ticket. For one movie showing, the theater sold a total of 214 full-price and reduced-price tickets for $2,145. Which of the following systems of equations could be used to determine the number of full-price tickets, f, and the number of reduced-price tickets, r, sold?

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Medium Math · Algebra · Systems of two linear equations in two variables · SPR

x + 3 y = 29

3 y = 11

The solution to the given system of equations is x,y. What is the value of x ?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

Which system of equations can be used to correctly determine the values of c and s ?

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Hard Math · Algebra · Systems of two linear equations in two variables · MCQ figure

  • For the first line in the system:
    • The line slants gradually down from left to right.
    • The line passes through the following points:
      • (negative 4 comma 5)
      • (0 comma 4)
      • (8 comma 2)
  • For the second line in the system:
    • The line is horizontal.
    • The line passes through the following points:
      • (0 comma 2)
      • (8 comma 2)

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4 y = -16 , how many solutions x,y will the resulting system of three equations have?

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Easy Math · Algebra · Systems of two linear equations in two variables · MCQ figure

In the given system of equations, a is a constant. If the system has infinitely many solutions, what is the value of a ?

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