Whakaoti mō A
A=-\frac{Bx-x+5B-2}{x+3}
x\neq -5\text{ and }x\neq -3
Whakaoti mō B
B=-\frac{Ax-x+3A-2}{x+5}
x\neq -5\text{ and }x\neq -3
Graph
Tohaina
Kua tāruatia ki te papatopenga
x+2=\left(x+3\right)A+\left(x+5\right)B
Me whakarea ngā taha e rua o te whārite ki te \left(x+3\right)\left(x+5\right), arā, te tauraro pātahi he tino iti rawa te kitea o \left(x+5\right)\left(x+3\right),x+5,x+3.
x+2=xA+3A+\left(x+5\right)B
Whakamahia te āhuatanga tohatoha hei whakarea te x+3 ki te A.
x+2=xA+3A+xB+5B
Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te B.
xA+3A+xB+5B=x+2
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
xA+3A+5B=x+2-xB
Tangohia te xB mai i ngā taha e rua.
xA+3A=x+2-xB-5B
Tangohia te 5B mai i ngā taha e rua.
\left(x+3\right)A=x+2-xB-5B
Pahekotia ngā kīanga tau katoa e whai ana i te A.
\left(x+3\right)A=2-5B+x-Bx
He hanga arowhānui tō te whārite.
\frac{\left(x+3\right)A}{x+3}=\frac{2-5B+x-Bx}{x+3}
Whakawehea ngā taha e rua ki te x+3.
A=\frac{2-5B+x-Bx}{x+3}
Mā te whakawehe ki te x+3 ka wetekia te whakareanga ki te x+3.
x+2=\left(x+3\right)A+\left(x+5\right)B
Me whakarea ngā taha e rua o te whārite ki te \left(x+3\right)\left(x+5\right), arā, te tauraro pātahi he tino iti rawa te kitea o \left(x+5\right)\left(x+3\right),x+5,x+3.
x+2=xA+3A+\left(x+5\right)B
Whakamahia te āhuatanga tohatoha hei whakarea te x+3 ki te A.
x+2=xA+3A+xB+5B
Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te B.
xA+3A+xB+5B=x+2
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
3A+xB+5B=x+2-xA
Tangohia te xA mai i ngā taha e rua.
xB+5B=x+2-xA-3A
Tangohia te 3A mai i ngā taha e rua.
\left(x+5\right)B=x+2-xA-3A
Pahekotia ngā kīanga tau katoa e whai ana i te B.
\left(x+5\right)B=2-3A+x-Ax
He hanga arowhānui tō te whārite.
\frac{\left(x+5\right)B}{x+5}=\frac{2-3A+x-Ax}{x+5}
Whakawehea ngā taha e rua ki te x+5.
B=\frac{2-3A+x-Ax}{x+5}
Mā te whakawehe ki te x+5 ka wetekia te whakareanga ki te x+5.
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