Odpowiedź:
a.
{ 2x+y=8
x-3y=-3
{ y=-2x+8
x-3•(-2x+8)=-3
x+6x-24=-3
7x=21 /:7
x=3
{ y=-2•3+8
{ y=-6+8
{ y=2
{ x=3
y=2
spr.
L=2x+y=2•3+2=8=P
L=x-3y=3-3•2=3-6=-3=P
b.
{ 3x+4y=4
x-2y=8
x=2y+8
{ 3(2y+8)+4y=4
{ 6y+24+4y=4
{ 10y=-20 /:10
{ y=-2
x=2•(-2)+8
x=4
{ x=4
y=-2
L=3x+4y=3•4+4•(-2)=12-8=4=P
L=x-2y=4-2•(-2)=4+4=8=P
c.
{ 4x+y=5
2x-y=-2
{ y=-4x+5
2x-(-4x+5)=-2
2x+4x-5=-2
6x=3 /:6
x=0,5
{ y=-4•0,5+5
{ y=-2+5
{ y=3
{x=0,5
y=3
L=4x+y=4•0,5+3=2+3=5=P
L=2x-y=2•0,5-3=1-3=-2=P
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Odpowiedź:
a.
{ 2x+y=8
x-3y=-3
{ y=-2x+8
x-3•(-2x+8)=-3
{ y=-2x+8
x+6x-24=-3
{ y=-2x+8
7x=21 /:7
{ y=-2x+8
x=3
{ y=-2•3+8
x=3
{ y=-6+8
x=3
{ y=2
x=3
{ x=3
y=2
spr.
L=2x+y=2•3+2=8=P
L=x-3y=3-3•2=3-6=-3=P
b.
{ 3x+4y=4
x-2y=8
{ 3x+4y=4
x=2y+8
{ 3(2y+8)+4y=4
x=2y+8
{ 6y+24+4y=4
x=2y+8
{ 10y=-20 /:10
x=2y+8
{ y=-2
x=2•(-2)+8
{ y=-2
x=4
{ x=4
y=-2
spr.
L=3x+4y=3•4+4•(-2)=12-8=4=P
L=x-2y=4-2•(-2)=4+4=8=P
c.
{ 4x+y=5
2x-y=-2
{ y=-4x+5
2x-(-4x+5)=-2
{ y=-4x+5
2x+4x-5=-2
{ y=-4x+5
6x=3 /:6
{ y=-4x+5
x=0,5
{ y=-4•0,5+5
x=0,5
{ y=-2+5
x=0,5
{ y=3
x=0,5
{x=0,5
y=3
spr.
L=4x+y=4•0,5+3=2+3=5=P
L=2x-y=2•0,5-3=1-3=-2=P