Issolvi 16/5a+37/10(20-a)leq50

$$\frac { 16 } { 5 } a + \frac { 37 } { 10 } ( 20 - a ) \leq 50$$

Solvi għal a

$$a\geq 48$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{37}{10} b'20-a.

$$\frac{16}{5}a+\frac{37}{10}\times 20+\frac{37}{10}\left(-1\right)a\leq 50$$

Esprimi \frac{37}{10}\times 20 bħala frazzjoni waħda.

$$\frac{16}{5}a+\frac{37\times 20}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Immultiplika 37 u 20 biex tikseb 740.

$$\frac{16}{5}a+\frac{740}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

Iddividi 740 b'10 biex tikseb74.

$$\frac{16}{5}a+74+\frac{37}{10}\left(-1\right)a\leq 50$$

Immultiplika \frac{37}{10} u -1 biex tikseb -\frac{37}{10}.

$$\frac{16}{5}a+74-\frac{37}{10}a\leq 50$$

Ikkombina \frac{16}{5}a u -\frac{37}{10}a biex tikseb -\frac{1}{2}a.

$$-\frac{1}{2}a+74\leq 50$$

Naqqas 74 miż-żewġ naħat.

$$-\frac{1}{2}a\leq 50-74$$

Naqqas 74 minn 50 biex tikseb -24.

$$-\frac{1}{2}a\leq -24$$

Immultiplika ż-żewġ naħat b'-2, ir-reċiproku ta' -\frac{1}{2}. Peress li -\frac{1}{2} huwa negattiv, id-direzzjoni tal-inugwaljanza inbidlet.

$$a\geq -24\left(-2\right)$$

Immultiplika -24 u -2 biex tikseb 48.

$$a\geq 48$$