Datrys 7(2-x-4x)-5x+5=12(x+1/6)-2x+4

$$7 ( 2 - x - 4 x ) - 5 x + 5 = 12 ( x + \frac { 1 } { 6 } ) - 2 x + 4$$

Datrys ar gyfer x

$$x=\frac{13}{50}=0.26$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfuno -x a -4x i gael -5x.

$$7\left(2-5x\right)-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Defnyddio’r briodwedd ddosbarthu i luosi 7 â 2-5x.

$$14-35x-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Cyfuno -35x a -5x i gael -40x.

$$14-40x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Adio 14 a 5 i gael 19.

$$19-40x=12\left(x+\frac{1}{6}\right)-2x+4$$

Defnyddio’r briodwedd ddosbarthu i luosi 12 â x+\frac{1}{6}.

$$19-40x=12x+12\times \frac{1}{6}-2x+4$$

Lluosi 12 a \frac{1}{6} i gael \frac{12}{6}.

$$19-40x=12x+\frac{12}{6}-2x+4$$

Rhannu 12 â 6 i gael 2.

$$19-40x=12x+2-2x+4$$

Cyfuno 12x a -2x i gael 10x.

$$19-40x=10x+2+4$$

Adio 2 a 4 i gael 6.

$$19-40x=10x+6$$

Tynnu 10x o'r ddwy ochr.

$$19-40x-10x=6$$

Cyfuno -40x a -10x i gael -50x.

$$19-50x=6$$

Tynnu 19 o'r ddwy ochr.

$$-50x=6-19$$

Tynnu 19 o 6 i gael -13.

$$-50x=-13$$

Rhannu’r ddwy ochr â -50.

$$x=\frac{-13}{-50}$$

Gellir symlhau’r ffracsiwn \frac{-13}{-50} i \frac{13}{50} drwy dynnu’r arwydd negatif o’r rhifiadur a’r enwadur.

$$x=\frac{13}{50}$$