Whakaoti mō x
x = \frac{700}{9} = 77\frac{7}{9} \approx 77.777777778
Graph
Pātaitai
Linear Equation
5 raruraru e ōrite ana ki:
6 \frac { 2 } { 3 } \div x-8=-4.2 \frac{ 5 }{ 7 } -3
Tohaina
Kua tāruatia ki te papatopenga
7\times \frac{6\times 3+2}{3}+7x\left(-8\right)=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 7x, arā, te tauraro pātahi he tino iti rawa te kitea o x,7.
7\times \frac{18+2}{3}+7x\left(-8\right)=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Whakareatia te 6 ki te 3, ka 18.
7\times \frac{20}{3}+7x\left(-8\right)=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Tāpirihia te 18 ki te 2, ka 20.
\frac{7\times 20}{3}+7x\left(-8\right)=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Tuhia te 7\times \frac{20}{3} hei hautanga kotahi.
\frac{140}{3}+7x\left(-8\right)=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Whakareatia te 7 ki te 20, ka 140.
\frac{140}{3}-56x=-x\left(4.2\times 7+5\right)+7x\left(-3\right)
Whakareatia te 7 ki te -8, ka -56.
\frac{140}{3}-56x=-x\left(29.4+5\right)+7x\left(-3\right)
Whakareatia te 4.2 ki te 7, ka 29.4.
\frac{140}{3}-56x=-x\times 34.4+7x\left(-3\right)
Tāpirihia te 29.4 ki te 5, ka 34.4.
\frac{140}{3}-56x=-x\times 34.4-21x
Whakareatia te 7 ki te -3, ka -21.
\frac{140}{3}-56x+x\times 34.4=-21x
Me tāpiri te x\times 34.4 ki ngā taha e rua.
\frac{140}{3}-21.6x=-21x
Pahekotia te -56x me x\times 34.4, ka -21.6x.
\frac{140}{3}-21.6x+21x=0
Me tāpiri te 21x ki ngā taha e rua.
\frac{140}{3}-0.6x=0
Pahekotia te -21.6x me 21x, ka -0.6x.
-0.6x=-\frac{140}{3}
Tangohia te \frac{140}{3} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x=\frac{-\frac{140}{3}}{-0.6}
Whakawehea ngā taha e rua ki te -0.6.
x=\frac{-140}{3\left(-0.6\right)}
Tuhia te \frac{-\frac{140}{3}}{-0.6} hei hautanga kotahi.
x=\frac{-140}{-1.8}
Whakareatia te 3 ki te -0.6, ka -1.8.
x=\frac{-1400}{-18}
Whakarohaina te \frac{-140}{-1.8} mā te whakarea i te taurunga me te tauraro ki te 10.
x=\frac{700}{9}
Whakahekea te hautanga \frac{-1400}{-18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.
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