GeoGebra
You can use GeoGebra to solve systems of equations.
GeoGebra Instruction 1
Solution in CAS
- 1.
- Open
CASunder
Viewin
Menu. - 2.
- Enter your equations one by one in
CAS, pressingEnterto start a new row for each of your equations. - 3.
- Select each of the rows with an equation in them by clicking the boxes with a row number. You’ll know that the row is selected when the box with the row number has turned purple. To select more than one box at a time, hold down the
Shiftkey, click the box of the first equation and then click the box with the row number of the last equation. - 4.
- Click
Solve
.
If you get as the output, the system of equations has no solution. If GeoGebra returns one of the variables as a function, the system of equations has infinitely many solutions.
You can solve a system of equations graphically by plotting all the graphs in the same coordinate system. The solutions are intersections between the graphs.
GeoGebra Instruction 2
Solution in Graphics View
- 1.
- Open
Algebra ViewandGraphics Viewunder Viewin Menu. - 2.
- Enter your equations one by one in
CAS, pressingEnterto start a new row for each. - 3.
- In
Toolbar, clickIntersect
. If you can’t find the button, check that you have the ToolbarforGraphics Viewby clicking on any empty space inside theGraphics Viewwindow. Then find the button under thePoint
tool list. - 4.
- Click the graphs in
Graphics View. The order does not matter. - 5.
- The solutions are given in
Algebra Viewas coordinates of the intersection points.
