Issolvi (100-x)80=(100(1-4%)-x)(80-4*4)

$$(100-x)80=(100(1-4 \% )-x)(80-4 \times 4)$$

Solvi għal x

$$x=116$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 100-x b'80.

$$8000-80x=\left(100\left(1-\frac{4}{100}\right)-x\right)\left(80-4\times 4\right)$$

Naqqas il-frazzjoni \frac{4}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$8000-80x=\left(100\left(1-\frac{1}{25}\right)-x\right)\left(80-4\times 4\right)$$

Ikkonverti 1 fi frazzjoni \frac{25}{25}.

$$8000-80x=\left(100\left(\frac{25}{25}-\frac{1}{25}\right)-x\right)\left(80-4\times 4\right)$$

Billi \frac{25}{25} u \frac{1}{25} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$8000-80x=\left(100\times \frac{25-1}{25}-x\right)\left(80-4\times 4\right)$$

Naqqas 1 minn 25 biex tikseb 24.

$$8000-80x=\left(100\times \frac{24}{25}-x\right)\left(80-4\times 4\right)$$

Esprimi 100\times \frac{24}{25} bħala frazzjoni waħda.

$$8000-80x=\left(\frac{100\times 24}{25}-x\right)\left(80-4\times 4\right)$$

Immultiplika 100 u 24 biex tikseb 2400.

$$8000-80x=\left(\frac{2400}{25}-x\right)\left(80-4\times 4\right)$$

Iddividi 2400 b'25 biex tikseb96.

$$8000-80x=\left(96-x\right)\left(80-4\times 4\right)$$

Immultiplika 4 u 4 biex tikseb 16.

$$8000-80x=\left(96-x\right)\left(80-16\right)$$

Naqqas 16 minn 80 biex tikseb 64.

$$8000-80x=\left(96-x\right)\times 64$$

Uża l-propjetà distributtiva biex timmultiplika 96-x b'64.

$$8000-80x=6144-64x$$

Żid 64x maż-żewġ naħat.

$$8000-80x+64x=6144$$

Ikkombina -80x u 64x biex tikseb -16x.

$$8000-16x=6144$$

Naqqas 8000 miż-żewġ naħat.

$$-16x=6144-8000$$

Naqqas 8000 minn 6144 biex tikseb -1856.

$$-16x=-1856$$

Iddividi ż-żewġ naħat b'-16.

$$x=\frac{-1856}{-16}$$

Iddividi -1856 b'-16 biex tikseb116.

$$x=116$$