Whakaoti i te x-7=3/4(x+5)

$$x - 7 = \frac { 3 } { 4 } ( x + 5 )$$

Whakaoti mō x

$$x=43$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te x+5.

$$x-7=\frac{3}{4}x+\frac{3}{4}\times 5$$

Tuhia te \frac{3}{4}\times 5 hei hautanga kotahi.

$$x-7=\frac{3}{4}x+\frac{3\times 5}{4}$$

Whakareatia te 3 ki te 5, ka 15.

$$x-7=\frac{3}{4}x+\frac{15}{4}$$

Tangohia te \frac{3}{4}x mai i ngā taha e rua.

$$x-7-\frac{3}{4}x=\frac{15}{4}$$

Pahekotia te x me -\frac{3}{4}x, ka \frac{1}{4}x.

$$\frac{1}{4}x-7=\frac{15}{4}$$

Me tāpiri te 7 ki ngā taha e rua.

$$\frac{1}{4}x=\frac{15}{4}+7$$

Me tahuri te 7 ki te hautau \frac{28}{4}.

$$\frac{1}{4}x=\frac{15}{4}+\frac{28}{4}$$

Tā te mea he rite te tauraro o \frac{15}{4} me \frac{28}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{4}x=\frac{15+28}{4}$$

Tāpirihia te 15 ki te 28, ka 43.

$$\frac{1}{4}x=\frac{43}{4}$$

Me whakarea ngā taha e rua ki te 4, te tau utu o \frac{1}{4}.

$$x=\frac{43}{4}\times 4$$

Me whakakore te 4 me te 4.

$$x=43$$