11.2E: Mifumo ya Equations Linear na Vigezo Tatu (Mazoezi)

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Kwa mazoezi yafuatayo, tatua mfumo wa equations tatu kwa kutumia badala au kuongeza.

11.

$0.5 x-0.5 y=10$

$-0.2 y+0.2 x=4$
$0.1 x+0.1 z=2$

12.

$5 x+3 y-z=5$

$3 x-2 y+4 z=13$
$4 x+3 y+5 z=22$

13.

$x+y+z=1$

$2 x+2 y+2 z=1$
$3 x+3 y=2$

14.

$2 x-3 y+z=-1$

$x+y+z=-4$
$4 x+2 y-3 z=33$

15.

$3 x+2 y-z=-10$

$x-y+2 z=7$
$-x+3 y+z=-2$

16.

$3 x+4 z=-11$

$ x-2 y=5$
$4 y-z=-10$

17.

$2 x-3 y+z=0$

$2 x+4 y-3 z=0 $
$6 x-2 y-z=0 $

18.

$6 x-4 y-2 z=2 $

$3 x+2 y-5 z=4 $
$6 y-7 z=5$

Kwa mazoezi yafuatayo, weka mfumo wa equations kutatua kila tatizo. Tatua mfumo wa equations.

19. Tatu isiyo ya kawaida idadi jumla hadi 61. Kidogo ni theluthi moja kubwa na idadi ya kati ni 16 chini ya kubwa. Nambari tatu ni nini?

20. ukumbi wa mitaa kuuza nje kwa ajili ya show yao. Wao kuuza kila 500 tiketi kwa mfuko wa fedha jumla$\$ 8,070.00 .$ ya tiketi walikuwa bei saa$\$ 15$ kwa ajili ya wanafunzi,$\$ 12$ kwa ajili ya watoto, na$\$ 18$ kwa watu wazima. Ikiwa bendi iliuza mara tatu tiketi nyingi za watu wazima kama tiketi za watoto, ngapi ya kila aina iliuzwa?