System of linear equations

How to insert dynamic text
Dynamic text contains an element that refers to one of the objects used in the construction. Thus, the text adapts to changes of the object (e.g. new coordinates, area).[br][br]Select the [img]https://www.geogebra.org/wiki/uploads/thumb/1/14/Mode_text.svg/16px-Mode_text.svg.png[/img] [i]Text [/i]tool and click in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. Click on [i]Advanced[/i] and select tab [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]Objects[/i]. From the list of available objects, select the object which value should be displayed in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View.[br][br][/i][b]Hint:[/b] You may also add static parts to your text. The dynamic part of your text will change, if the construction is modified.
Task
Create a dynamic figure that visualizes the solution of a system of linear equations.[br][b]Note:[/b] Such a dynamic figure can also be used to visualize... [br][list][*]the solution of a system of functions.[/*][*]an equation in one variable by entering each side of the equation as one of the two functions.[/*][/list]
Explore the construction...
Instructions
[table][tr][td]1.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][/td][td]Enter the linear equation [code]line_1: y = m_1 x + b_1[/code] into the[i] Input Bar[/i].[br][/td][/tr][tr][td][br][/td][td][br][/td][td][b]Hint:[/b] The input [code]line_1 [/code]gives you [i]line[sub]1[/sub][/i]. [br][/td][/tr][tr][td]2.[/td][td][br][/td][td][i]GeoGebra [/i]will automatically create sliders for the variables[i] m[sub]1[/sub][/i] and [i]b[/i][sub][i]1 [/i][/sub]when pressing [i]Enter[/i]. [br][/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/wiki/uploads/thumb/3/34/Algebra_hidden.svg/32px-Algebra_hidden.svg.png[/icon][/td][td]Show the sliders in the [img]https://www.geogebra.org/wiki/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] by clicking on the disabled [i]Visibility [/i]buttons next to their entry in the [img]https://www.geogebra.org/wiki/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i].[/td][/tr][tr][td]4.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/td][td]Repeat steps 1 to 3 for the equation of [code]line_2: y = m_2 x + b_2[/code].[/td][/tr][tr][td]5.[/td][td][img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Use the [i]Style Bar[/i] to change the color of both lines and their sliders.[/td][/tr][/table]
Try it yourself...
Instructions (continued)
[table][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_text.png[/icon][/td][td]Use the [i]Text[/i] tool and create a dynamic text[i] [/i]by entering [code]Line 1:[br][/code] in the appearing dialog and selecting [i]line_1[/i] from the list of objects on tab [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]Objects[/i] of the [i]Advanced [/i]section.[/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_text.png[/icon][/td][td]Create a dynamic text with the static part [code]Line 2:[/code] and select [i]line_2[/i] from the list of objects on tab [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]Objects [/i]of the [i]Advanced [/i]section.[/td][/tr][tr][td]8.[/td][td][img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Use the [i]Style Bar[/i] to match the color of the texts with their corresponding lines.[/td][/tr][tr][td]9.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/td][td]Construct the intersection point [i]A[/i] of both [i]line[sub]1[/sub][/i] and [i]line[sub]2[/sub][/i] by either using the [i]Intersect [/i]tool, or by entering the command [code]Intersect(line_1, line_2)[/code]into the[i] Input Bar[/i].[/td][/tr][tr][td]10.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/td][td]Enter [code]xcoordinate = x(A)[/code] into the [i]Input Bar[/i].[br][b]Hint:[/b] [i]x(A)[/i] gives you the [i]x-coordinate[/i] of the intersection point [i]A[/i].[/td][/tr][tr][td]11.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/td][td]Also, define [code]ycoordinate = y(A)[/code].[br][b]Hint:[/b] [i]y(A)[/i] gives you the [i]y-coordinate[/i] of the intersection point [i]A[/i].[/td][/tr][tr][td]12.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_text.png[/icon][/td][td]Create a dynamic text with the static part [code]Solution: x =[/code] and select [i]xcoordinate[/i] from the list of objects on tab [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]Objects[/i].[/td][/tr][tr][td]13.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_text.png[/icon][/td][td]Create a dynamic text with the static part [code]y = [/code]and select [i]ycoordinate[/i] from the list of objects on tab [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]Objects[/i].[/td][/tr][tr][td]14.[/td][td][img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Fix the texts so they can’t be moved accidentally by selecting the texts and opening the [i]Style Bar[/i].[/td][/tr][/table]

Information: System of linear equations