Whakaoti mō x
x = -\frac{70}{47} = -1\frac{23}{47} \approx -1.489361702
Graph
Pātaitai
Linear Equation
5 raruraru e ōrite ana ki:
\frac { 11 x + 5 } { 6 x - 7 } = 1 - \frac { 2 } { 7 }
Tohaina
Kua tāruatia ki te papatopenga
7\left(11x+5\right)=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Tē taea kia ōrite te tāupe x ki \frac{7}{6} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 7\left(6x-7\right), arā, te tauraro pātahi he tino iti rawa te kitea o 6x-7,7.
77x+35=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 11x+5.
77x+35=42x-49+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 6x-7.
77x+35=42x-49-2\left(6x-7\right)
Whakareatia te 7 ki te -\frac{2}{7}, ka -2.
77x+35=42x-49-12x+14
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 6x-7.
77x+35=30x-49+14
Pahekotia te 42x me -12x, ka 30x.
77x+35=30x-35
Tāpirihia te -49 ki te 14, ka -35.
77x+35-30x=-35
Tangohia te 30x mai i ngā taha e rua.
47x+35=-35
Pahekotia te 77x me -30x, ka 47x.
47x=-35-35
Tangohia te 35 mai i ngā taha e rua.
47x=-70
Tangohia te 35 i te -35, ka -70.
x=\frac{-70}{47}
Whakawehea ngā taha e rua ki te 47.
x=-\frac{70}{47}
Ka taea te hautanga \frac{-70}{47} te tuhi anō ko -\frac{70}{47} mā te tango i te tohu tōraro.
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