Issolvi 1-p/6+2p/3-1-7p/4=21/6

$$\frac { 1 - p } { 6 } + \frac { 2 p } { 3 } - \frac { 1 - 7 p } { 4 } = 2 \frac { 1 } { 6 }$$

Solvi għal p

$$p=1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 6,3,4.

$$2\left(1-p\right)+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'1-p.

$$2-2p+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Immultiplika 4 u 2 biex tikseb 8.

$$2-2p+8p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Ikkombina -2p u 8p biex tikseb 6p.

$$2+6p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'1-7p.

$$2+6p-3+21p=2\left(2\times 6+1\right)$$

Naqqas 3 minn 2 biex tikseb -1.

$$-1+6p+21p=2\left(2\times 6+1\right)$$

Ikkombina 6p u 21p biex tikseb 27p.

$$-1+27p=2\left(2\times 6+1\right)$$

Immultiplika 2 u 6 biex tikseb 12.

$$-1+27p=2\left(12+1\right)$$

Żid 12 u 1 biex tikseb 13.

$$-1+27p=2\times 13$$

Immultiplika 2 u 13 biex tikseb 26.

$$-1+27p=26$$

Żid 1 maż-żewġ naħat.

$$27p=26+1$$

Żid 26 u 1 biex tikseb 27.

$$27p=27$$

Iddividi ż-żewġ naħat b'27.

$$p=\frac{27}{27}$$

Iddividi 27 b'27 biex tikseb1.

$$p=1$$