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.
Q1:
Determine the number of solutions to the system of equations −6𝑥−2𝑦+9𝑧=−4,−24𝑥−8𝑦+36𝑧=−22,−12𝑥−4𝑦+18𝑧=−10.
Q2:
Determine the number of solutions to the following system: 4−80130110−1417𝑥𝑦𝑧=000.
Q3:
Determine the value of 𝑘 that makes the system of equations 7𝑥+5𝑦=7,35𝑥+25𝑦=𝑘 have infinitely many solutions.
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