Whakaoti i te 6/5x+7/16=x-3/2

$$\frac { 6 } { 5 } x + \frac { 7 } { 16 } = x - \frac { 3 } { 2 }$$

Whakaoti mō x

$$x = -\frac{155}{16} = -9\frac{11}{16} = -9.6875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x mai i ngā taha e rua.

$$\frac{6}{5}x+\frac{7}{16}-x=-\frac{3}{2}$$

Pahekotia te \frac{6}{5}x me -x, ka \frac{1}{5}x.

$$\frac{1}{5}x+\frac{7}{16}=-\frac{3}{2}$$

Tangohia te \frac{7}{16} mai i ngā taha e rua.

$$\frac{1}{5}x=-\frac{3}{2}-\frac{7}{16}$$

Ko te maha noa iti rawa atu o 2 me 16 ko 16. Me tahuri -\frac{3}{2} me \frac{7}{16} ki te hautau me te tautūnga 16.

$$\frac{1}{5}x=-\frac{24}{16}-\frac{7}{16}$$

Tā te mea he rite te tauraro o -\frac{24}{16} me \frac{7}{16}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{5}x=\frac{-24-7}{16}$$

Tangohia te 7 i te -24, ka -31.

$$\frac{1}{5}x=-\frac{31}{16}$$

Me whakarea ngā taha e rua ki te 5, te tau utu o \frac{1}{5}.

$$x=-\frac{31}{16}\times 5$$

Tuhia te -\frac{31}{16}\times 5 hei hautanga kotahi.

$$x=\frac{-31\times 5}{16}$$

Whakareatia te -31 ki te 5, ka -155.

$$x=\frac{-155}{16}$$

Ka taea te hautanga \frac{-155}{16} te tuhi anō ko -\frac{155}{16} mā te tango i te tohu tōraro.

$$x=-\frac{155}{16}$$