September 2018 0 26 Report

rownania( w takich robakach)

a) {2x-y=4

{x+y=2

b) {6x+y=3

{12x+2y=6

c) {x+y=3

{2x+2y= -8

Reklama

Odpowiedzi

ema3153

a)\left \{ {{2x-y=4} \atop {x+y=2}} \righ

 

metoda przeciwnych współczynników:

\left \{ {{3x=6}/: 3 \atop {y=2-x}} \righ

\left \{ {{x=2} \atop {y=2-2}} \righ

\left \{ {{x=2} \atop {y=0}} \righ

 

b)\left \{ {{y=3-6x} \atop {12x+2*(3-6x)=6}} \righ

\left \{ {{y=3-6x} \atop {12x+6-12x=6}} \righ

\left \{ {{y=3-6x} \atop {6=6}} \righ

równanie ma nieskończenie wiele rozwiązań

 

c)\left \{ {{x=3-y} \atop {2*(3-y)-2y=8}} \righ

\left \{ {{x=3-y} \atop {6-2y-2y=8}} \righ

\left \{ {{x=3-y} \atop {-4y=2}/:(-4)} \righ

\left \{ {{x=3-y} \atop {y=-\frac{1}{2}}} \righ

\left \{ {{x=3+\frac{1}{2}} \atop {y=-\frac{1}{2}}} \righ

\left \{ {{x=3\frac{1}{2}} \atop {y=-\frac{1}{2}}} \righ

 


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