MPM1D1
Unit 5 – Analytic Geometry
Mr. Kwok
Day 9
Linear System
A linear system is a set of _______ or _______ linear equations that are considered at the same time.
There are three possible outcomes of a linear system.
To solve a linear system means finding the point of intersection(s) or the lack of one.
4
−4 + 5 − 12 = 0
= −
+ 2
7
=
− 3
5
1.
2.
= −2
4
y
y
10
10
8
8
6
6
4
4
2
2
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
x
-2
-2
-4
-4
-6
-6
-8
-8
3. = −2 + 3
= −
− 1
1
3 + 9 = −6
-10
1
-10
2
4.
=
− 4
4
y
y
10
10
8
8
6
6
4
4
2
2
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
x
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
Day 9
Page 1