In this lesson, we will learn how to determine whether a linear system of equations has a unique solution, no solution, or an infinite number of solutions.
Students will be able to
Q1:
Determine the number of solutions to the system of equations β6π₯β2π¦+9π§=β4,β24π₯β8π¦+36π§=β22,β12π₯β4π¦+18π§=β10.
Q2:
Determine the number of solutions to the following system: ο4β80130110β1417ο€οπ₯π¦π§ο£=ο000ο€.
Q3:
Determine the value of π that makes the system of equations 7π₯+5π¦=7,35π₯+25π¦=π have infinitely many solutions.
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