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Ch 1.4: Solving Linear
Systems
Essential Question: How can you determine the number of solutions of
a linear system?
Review of Linear Systems
What does it mean for two lines to be parallel?
Same slope
𝑚1 = 𝑚2
What does it mean for two lines to be perpendicular?
Negative reciprocal slopes
−1
How would we solve the following system for x and y? 𝑚1 =
𝑚1
Ch 1.4: Solving Linear Systems
Essential Question: How can you determine the number of solutions
of a linear system?
Topic/Question
Notes
A Linear equation in 3
variables x, y, and z
An equation of the form ax + by + cz = d where a, b, and c are NOT ALL zero.
Visualizing
Solutions of
Systems
EX 0:
x – 2y + 3z = 9
y + 4z = 7
z=2
SuMmary!
Start the HW