Whakaoti i te 3/4x+3/2=3/8

$$\frac { 3 } { 4 } x + \frac { 3 } { 2 } = \frac { 3 } { 8 }$$

Whakaoti mō x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{3}{2} mai i ngā taha e rua.

$$\frac{3}{4}x=\frac{3}{8}-\frac{3}{2}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri \frac{3}{8} me \frac{3}{2} ki te hautau me te tautūnga 8.

$$\frac{3}{4}x=\frac{3}{8}-\frac{12}{8}$$

Tā te mea he rite te tauraro o \frac{3}{8} me \frac{12}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{4}x=\frac{3-12}{8}$$

Tangohia te 12 i te 3, ka -9.

$$\frac{3}{4}x=-\frac{9}{8}$$

Me whakarea ngā taha e rua ki te \frac{4}{3}, te tau utu o \frac{3}{4}.

$$x=-\frac{9}{8}\times \frac{4}{3}$$

Me whakarea te -\frac{9}{8} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-9\times 4}{8\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{-9\times 4}{8\times 3}.

$$x=\frac{-36}{24}$$

Whakahekea te hautanga \frac{-36}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$x=-\frac{3}{2}$$