Issolvi 1/3(y-3)-1/4(y-4)=1/6

$$\frac { 1 } { 3 } ( y - 3 ) - \frac { 1 } { 4 } ( y - 4 ) = \frac { 1 } { 6 }$$

Solvi għal y

$$y=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{3} b'y-3.

$$\frac{1}{3}y+\frac{1}{3}\left(-3\right)-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

Immultiplika \frac{1}{3} u -3 biex tikseb \frac{-3}{3}.

$$\frac{1}{3}y+\frac{-3}{3}-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

Iddividi -3 b'3 biex tikseb-1.

$$\frac{1}{3}y-1-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

Uża l-propjetà distributtiva biex timmultiplika -\frac{1}{4} b'y-4.

$$\frac{1}{3}y-1-\frac{1}{4}y-\frac{1}{4}\left(-4\right)=\frac{1}{6}$$

Esprimi -\frac{1}{4}\left(-4\right) bħala frazzjoni waħda.

$$\frac{1}{3}y-1-\frac{1}{4}y+\frac{-\left(-4\right)}{4}=\frac{1}{6}$$

Immultiplika -1 u -4 biex tikseb 4.

$$\frac{1}{3}y-1-\frac{1}{4}y+\frac{4}{4}=\frac{1}{6}$$

Iddividi 4 b'4 biex tikseb1.

$$\frac{1}{3}y-1-\frac{1}{4}y+1=\frac{1}{6}$$

Ikkombina \frac{1}{3}y u -\frac{1}{4}y biex tikseb \frac{1}{12}y.

$$\frac{1}{12}y-1+1=\frac{1}{6}$$

Żid -1 u 1 biex tikseb 0.

$$\frac{1}{12}y=\frac{1}{6}$$

Immultiplika ż-żewġ naħat b'12, ir-reċiproku ta' \frac{1}{12}.

$$y=\frac{1}{6}\times 12$$

Immultiplika \frac{1}{6} u 12 biex tikseb \frac{12}{6}.

$$y=\frac{12}{6}$$

Iddividi 12 b'6 biex tikseb2.

$$y=2$$