Systems of Equations by Graphing Using the calculator
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![Page 1: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/1.jpg)
Systems of Equationsby
GraphingUsing the calculator
![Page 2: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/2.jpg)
A System of Equations: Consists of two linear equations We want to find out information
about the two lines: The exact location (x, y) where they
cross If the two equations are the same
line (infinite solutions) If they are parallel, then they don’t
cross (no solution)
![Page 3: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/3.jpg)
One solution at a point (x, y)
Consistent & independent
Same line ---infinite solutions
Consistent & dependent
Parallel lines never cross----no solution
inconsistent
3 different possibleoutcomes
![Page 4: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/4.jpg)
Solve
2 3
4 1
by ph1 Gra : Ex
y x
y x
They do cross….but Where?????
Steps:
1. Type both eqs into y=
2. Graph them
3.
4.
5. Answer:
![Page 5: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/5.jpg)
2
Solve by Graph:
6
2
y
Ex
x
y x
They do cross….but Where?????
Steps:
1. Type both eqs into y=
2. Graph them
3.
4.
5. Answer:
![Page 6: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/6.jpg)
Solve by
2
Grap
7
h
4
:
3
y x
x
Ex
y
They do cross….but Where?????
Steps:
1. Type both eqs into y=
2. Graph them
3.
4.
5. Answer:
![Page 7: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/7.jpg)
3 2
3
Solve by Graph4 :
1
y
x
x
E
y x
They do cross….but Where?????
Steps:
1. Type both eqs into y=
2. Graph them
3.
4.
5. Answer:
![Page 8: Systems of Equations by Graphing Using the calculator](https://reader036.fdocuments.in/reader036/viewer/2022082711/56813273550346895d990e55/html5/thumbnails/8.jpg)
8 4 4
Solve by
2
Gra
ph
:
1
5
x
x
E
y
x
y
8 4 4x y 2 1x y 2x 2x
2 1y x 8x 8x
2 1y x 4 4 4
4 8 4 y x