0

This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?

This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?

This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?

lineare Algebra HS2020 MATH/PHYS

Menny, Sep 2, 2020

Geogebra Buch für lineare Algebra HS2020 MATH/PHYS

1. Is P(x, y) a Solution?
2. Gauss Elimination - Braucht CDF Player (man kann kostenlos herunterladen).

1.

Is P(x, y) a Solution?

Drag the point to various positions (both ON and OFF the line). Pay attention to what you see here. Then, answer the questions that follow.

If a point [math]\left(x,y\right)[/math] LIES on a line with a given equation, what can we conclude?

[math]\left(x,y\right)[/math] is not a solution to the equation. [math]\left(x,y\right)[/math] is a solution to the equation.

If a point [math]\left(x,y\right)[/math] DOES NOT LIE on a line with a given equation, what can we conclude?

[math]\left(x,y\right)[/math] is not a solution to the equation. [math]\left(x,y\right)[/math] is a solution to the equation.

If we wanted to see whether [math]\left(4,-3\right)[/math] was a solution to the equation [math]3x-5y=27[/math], what would we need to do first?

Determine the truth value of the equation [math]3\left(4_{ }\right)-5\left(-3\right)=27[/math]. Substitute -3 for [i]y[/i] in the given equation Substitute 4 for [i]x[/i] in the given equation Substitute 4 for [i]y[/i] in the given equation Substitute -3 for [i]x[/i] in the given equation Determine the truth value of the equation [math]3\left(-3\right)-5\left(4\right)=27[/math].

Is [math]\left(4,-3\right)[/math] a solution to the equation [math]3x-5y=27[/math]?

no yes

If we wanted to see whether [math]\left(-3,4\right)[/math] was a solution to the equation [math]3x-5y=-30[/math], what would we need to do first?

Substitute 4 for [i]y[/i] in the given equation Substitute -3 for [i]x[/i] in the given equation Determine the truth value of the equation [math]3\left(-3\right)-5\left(4\right)=-30[/math]. Determine the truth value of the equation [math]3\left(4_{ }\right)-5\left(-3\right)=-30[/math]. Substitute -3 for [i]y[/i] in the given equation Substitute 4 for [i]x[/i] in the given equation

Is [math]\left(-3,4\right)[/math] a solution to the equation [math]3x-5y=-30[/math]?

no yes

– Tim Brzezinski

2.

Gauss Elimination - Braucht CDF Player (man kann kostenlos herunterladen).

– Menny

Information

Error

A timeout occurred. Trying to re-save …

Sorry, but the server is not responding. Please wait a few minutes and then try to save again.