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Lesson: Determining the Number of Solutions a System of Linear Equations Has

Question Video: Finding the Unknown Coefficient in a Given System of Linear Equations with an Infinite Number of Solutions

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Worksheet: Determining the Number of Solutions a System of Linear Equations Has • 17 Questions

Q1:

How many solutions are there to the simultaneous equations and ?

  • Aan infinite number of solutions
  • Btwo solutions
  • Czero
  • Da unique solution

Q2:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q3:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q4:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q5:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q6:

How many solutions are there to the simultaneous equations and ?

  • Azero
  • Btwo solutions
  • Can infinite number of solutions
  • Da unique solution

Q7:

How many solutions are there to the simultaneous equations and ?

  • Aan infinite number of solutions
  • Btwo solutions
  • Czero
  • Da unique solution

Q8:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q9:

How many solutions are there to the simultaneous equations and ?

  • Azero
  • Btwo solutions
  • Can infinite number of solutions
  • Da unique solution

Q10:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q11:

How many solutions are there to the simultaneous equations and ?

  • Aan infinite number of solutions
  • Btwo solutions
  • Czero
  • Da unique solution

Q12:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q13:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q14:

How many solutions are there to the simultaneous equations and ?

  • Aan infinite number of solutions
  • Btwo solutions
  • Czero
  • Da unique solution

Q15:

How many solutions are there to the simultaneous equations and ?

  • Aa unique solution
  • Btwo solutions
  • Can infinite number of solutions
  • Dzero

Q16:

If the simultaneous equations and have an infinite number of solutions, what is the value of ?

Q17:

A food drive collected two different types of canned goods: green beans and kidney beans. Overall, they collected 350 cans whose total weight was 348 lb12 oz. If you know that the green bean cans weigh 2 oz less than the kidney bean cans, is it possible to find how many of each can was donated?

  • ANo, the system is inconsistent.
  • BNo, there are infinitely many solutions.
  • CYes, the system is independent.
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