Question

se consideră urmatorul sistem de ecuatii
3(x-1)+2y=5
-4x+2(y+1)=-4

a) stabiliti daca perechea (1,0) este solutie a sistemului
b) rezolvati sistemul​

Answer 1

Bună! ⚡

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$a) 3*(1-1)+2*0=0+0=0\\\\-4*1+2(0+1)=-4+2=-2$

$Perechea$ $(1,0)$ $nu$ $este$ $solutie$ $a$ $sistemului.$

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$b) \left \{ {{3(x-1)+2y=5} \atop {-4x+2(y+1)=-4}} \right. =>$

$=> \left \{ {{3x-3+2y=5} \atop {-4x+2y+2=-4}} \right. =>$

$=> \left \{ {{3x+2y=8} \atop {-4x+2y=-6 /*(-1)}} \right. =>$

$=> \left \{ {{3x+2y=8} \atop {4x-2y=6}} \right.$

     $======(+)$

    $7x/=14 => x=2$

$4x-2y=6 <=> 8-2y=6\\\\ <=> -2y=-2 => y=1$

$(x,y) =(2,1)$