Question

5 Rezolvati urmatoarele sisteme de ecuatii

Answer 1

Răspuns:

a)

$\left \{ {{2x+3y=1+2y} \atop {4x+2y=1+x}} \right =>\left\{ {{ 2x+y=1}|*2\atop{3x+2y=1} }\right =>\left\{{4x+2y=2}\atop{3x+2y=1}\right\\x=1 \\2+y=1 \\y=-1$

b)

$\left\{2(x-2)+y=5\atop {3x+2(y+3)=20\right =>\left\{2x-4+y=5}\atop{3x+2y+6=20}\right =>\left\{2x+y=9}|*2\atop{3x+2y=14}\right =>\left\{4x+2y=18}\atop{3x+2y=14}\right}\\x=4\\2*2+y=9\\y=5$

c)

$\left\{3(x-4)=2(y-6)\atop{x=2(y+1)-6\right =>\left\{3x-12=2y-12}\atop{x=2y+2-6}\right} =>\left\{3x-2y=0}\atop{x-2y=-4}\right\\2x=4\\x=2\\2-2y=-4\\-2y=-6\\y=3$

Explicație pas cu pas: