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11.1E: Mifumo ya Ulinganisho wa Mstari - Vigezo viwili (Mazoezi)

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    177954
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    Kwa mazoezi yafuatayo, onyesha kama jozi iliyoamriwa ni suluhisho la mfumo wa equations.

    \(3 x-y=4\)

    1. \(\quad\)na (-1,1)\(x+4 y=-3\)
    \(6 x-2 y=24\)

    2. \(-3 x+3 y=18\)

    Kwa mazoezi yafuatayo, tumia badala ya kutatua mfumo wa equations.

    3
    \(10 x+5 y=-5\)
    \(3 x-2 y=-12\)

    4
    \(\frac{4}{7} x+\frac{1}{5} y=\frac{43}{70}\)
    \(\frac{5}{6} x-\frac{1}{3} y=-\frac{2}{3}\)

    5

    \(5 x+6 y=14\)
    \(4 x+8 y=8\)

    Kwa mazoezi yafuatayo, tumia kuongeza ili kutatua mfumo wa equations.

    6
    \(3 x+2 y=-7\)
    \(2 x+4 y=6\)

    7.

    \(3 x+4 y=2\)
    \(9 x+12 y=3\)

    8.

    \(8 x+4 y=2\)
    \(6 x-5 y=0.7\)

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

    9. Kiwanda kina gharama za uzalishaji\(C(x)=150 x+15,000\) na kazi ya mapato\(R(x)=200 x\). Je, ni hatua gani ya kuvunja-hata?

    10. mtendaji mashtaka\(C(x)=50 x+10,000,\) ambapo\(x\) ni jumla ya idadi ya waliohudhuria katika show. mashtaka ukumbi\(\$ 75\) kwa tiketi. Baada ya watu wangapi kununua tiketi gani ukumbi kuvunja hata, na ni thamani gani ya tiketi jumla kuuzwa katika hatua hiyo?