Tīpoka ki ngā ihirangi matua
Whakaoti mō x
Tick mark Image
Graph

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(4x-5\right)\times 15=\left(2x-3\right)\times 10
Tē taea kia ōrite te tāupe x ki tētahi o ngā uara \frac{5}{4},\frac{3}{2} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(2x-3\right)\left(4x-5\right), arā, te tauraro pātahi he tino iti rawa te kitea o 2x-3,4x-5.
60x-75=\left(2x-3\right)\times 10
Whakamahia te āhuatanga tohatoha hei whakarea te 4x-5 ki te 15.
60x-75=20x-30
Whakamahia te āhuatanga tohatoha hei whakarea te 2x-3 ki te 10.
60x-75-20x=-30
Tangohia te 20x mai i ngā taha e rua.
40x-75=-30
Pahekotia te 60x me -20x, ka 40x.
40x=-30+75
Me tāpiri te 75 ki ngā taha e rua.
40x=45
Tāpirihia te -30 ki te 75, ka 45.
x=\frac{45}{40}
Whakawehea ngā taha e rua ki te 40.
x=\frac{9}{8}
Whakahekea te hautanga \frac{45}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.