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y\times 2\left(2x-1\right)=2x-3
Tē taea kia ōrite te tāupe x ki \frac{1}{2} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2\left(2x-1\right).
4xy-y\times 2=2x-3
Whakamahia te āhuatanga tohatoha hei whakarea te y\times 2 ki te 2x-1.
4xy-2y=2x-3
Whakareatia te -1 ki te 2, ka -2.
4xy-2y-2x=-3
Tangohia te 2x mai i ngā taha e rua.
4xy-2x=-3+2y
Me tāpiri te 2y ki ngā taha e rua.
\left(4y-2\right)x=-3+2y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(4y-2\right)x=2y-3
He hanga arowhānui tō te whārite.
\frac{\left(4y-2\right)x}{4y-2}=\frac{2y-3}{4y-2}
Whakawehea ngā taha e rua ki te 4y-2.
x=\frac{2y-3}{4y-2}
Mā te whakawehe ki te 4y-2 ka wetekia te whakareanga ki te 4y-2.
x=\frac{2y-3}{2\left(2y-1\right)}
Whakawehe -3+2y ki te 4y-2.
x=\frac{2y-3}{2\left(2y-1\right)}\text{, }x\neq \frac{1}{2}
Tē taea kia ōrite te tāupe x ki \frac{1}{2}.