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Systems of Linear Equations — Solve by Graphing
Graph each pair of lines. The solution of the system is the point where they cross.
Example
y
=
x
y
= 2
x
+ 4
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point:
(−4, −4)
1.
y
= 2
x
+ 4
y
=
x
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point:
2.
y
= −
x
− 1
y
= −2
x
− 1
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point:
3.
y
= −
x
+ 2
y
= −2
x
+ 2
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point:
4.
y
= −2
x
+ 4
y
= −
x
+ 2
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point:
5.
y
= −
x
− 2
y
= 2
x
+ 4
x
y
−6
−6
−4
−4
−2
−2
2
2
4
4
6
6
Graph both lines. Where do they cross?
Crossing point: