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Resolution système

kvillers

Created on September 16, 2021

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Transcript

Comment résoudre un système ? Méthode par combinaison

2a+5b=12 3a-4b=-5

Activez le son

Démarrer...

(2a+5b)x3=12x3 (3a-4b)x2=-5x2

3x 2x

l1 l2

+ petit multiple est 3x2=6

2a+5b=12 3a-4b=-5

3x(2a+5b)-2x(3a-4b)=12x3-5x2 - - -

l1 l2

l1 l2

3x -2x

<=>

(6a+15b)-(6a-8b)=36+10 - - -

l1 l2

<=>

Suite...

b=46/23 - - -

23b=46 - - -

<=>

<=>

b=2 - - -

<=>

Suite...

(2a+5b)x4=12x4 (3a-4b)x5=-5x5

4x 5x

l1 l2

+ petit multiple est 5x4=20

3x(2a+5b)-2x(3a-4b)=12x3-5x2 4x(2a+5b)+5x(3a-4b)=12x4-5x5

2a+5b=12 3a-4b=-5

l1 l2

l1 l2

3x -2x

<=>

l1 l2

4x +5x

6a+15b)-(6a-8b)=36+10 (8a+20b)+(15a-20b)=48-25

l1 l2

<=>

Suite...

b=46/23 a=23/23

23b=46 23a=23

<=>

<=>

b=2 a=1

<=>