Question

cum se rezolva problema?
"INTR-O GOSPODARIE SUNT GASTE SI OI,IN TOTAL 43  CAPETE SI 124 PICIOARE.
CATE GASTE SI CATE OI ERAU IN GOSPODARIE?"
P.S-Se rezulva prin medoda grafica!
ω

Answer 1

$\left \{ {{x+y=43} \atop {2x+4y=124}} \right.$  ⇒ $\left \{ {{y=43-x} \atop {2x+4(43-x)=124}} \right.$ ⇒ $\left \{ {{y=43-x} \atop {2x+172-4x=124}} \right.$ ⇒ $\left \{ {{y=43-x} \atop {2x-4x=124-172}} \right.$ ⇒ $\left \{ {{y=43-24} \atop {x=24}} \right.$ ⇒ $\left \{ {{y=19} \atop {x=24}} \right.$                                                               si pentru verificare $\left \{ {{x+y=43} \atop {2x+4y=124}} \right.$ ⇒ $\left \{ {{24+19=43} \atop {2*24+4*19=124}} \right.$