Whakaoti i te 9t-3/4(5t-1)=5t+5/8

$$9 t - \frac { 3 } { 4 } ( 5 t - 1 ) = 5 t + \frac { 5 } { 8 }$$

Whakaoti mō t

$$t=-\frac{1}{2}=-0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{3}{4} ki te 5t-1.

$$9t-\frac{3}{4}\times 5t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

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

$$9t+\frac{-3\times 5}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

Whakareatia te -3 ki te 5, ka -15.

$$9t+\frac{-15}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

Ka taea te hautanga \frac{-15}{4} te tuhi anō ko -\frac{15}{4} mā te tango i te tohu tōraro.

$$9t-\frac{15}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

Whakareatia te -\frac{3}{4} ki te -1, ka \frac{3}{4}.

$$9t-\frac{15}{4}t+\frac{3}{4}=5t+\frac{5}{8}$$

Pahekotia te 9t me -\frac{15}{4}t, ka \frac{21}{4}t.

$$\frac{21}{4}t+\frac{3}{4}=5t+\frac{5}{8}$$

Tangohia te 5t mai i ngā taha e rua.

$$\frac{21}{4}t+\frac{3}{4}-5t=\frac{5}{8}$$

Pahekotia te \frac{21}{4}t me -5t, ka \frac{1}{4}t.

$$\frac{1}{4}t+\frac{3}{4}=\frac{5}{8}$$

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

$$\frac{1}{4}t=\frac{5}{8}-\frac{3}{4}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{5}{8} me \frac{3}{4} ki te hautau me te tautūnga 8.

$$\frac{1}{4}t=\frac{5}{8}-\frac{6}{8}$$

Tā te mea he rite te tauraro o \frac{5}{8} me \frac{6}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{4}t=\frac{5-6}{8}$$

Tangohia te 6 i te 5, ka -1.

$$\frac{1}{4}t=-\frac{1}{8}$$

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

$$t=-\frac{1}{8}\times 4$$

Tuhia te -\frac{1}{8}\times 4 hei hautanga kotahi.

$$t=\frac{-4}{8}$$

Whakahekea te hautanga \frac{-4}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$t=-\frac{1}{2}$$