Issolvi (2x+i)(4+3i)=(5+yi)

$$( 2 x + i ) ( 4 + 3 i ) = ( 5 + y i )$$

Solvi għal x

$$x=\left(\frac{3}{50}+\frac{2}{25}i\right)y+\left(\frac{2}{5}-\frac{4}{5}i\right)$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2x+i b'4+3i.

$$\left(8+6i\right)x+\left(-3+4i\right)=5+yi$$

Naqqas -3+4i miż-żewġ naħat.

$$\left(8+6i\right)x=5+yi-\left(-3+4i\right)$$

Immultiplika -1 u -3+4i biex tikseb 3-4i.

$$\left(8+6i\right)x=5+yi+\left(3-4i\right)$$

Agħmel l-addizzjonijiet fi 5+\left(3-4i\right).

$$\left(8+6i\right)x=yi+8-4i$$

L-ekwazzjoni hija f'forma standard.

$$\left(8+6i\right)x=iy+\left(8-4i\right)$$

Iddividi ż-żewġ naħat b'8+6i.

$$\frac{\left(8+6i\right)x}{8+6i}=\frac{iy+\left(8-4i\right)}{8+6i}$$

Meta tiddividi b'8+6i titneħħa l-multiplikazzjoni b'8+6i.

$$x=\frac{iy+\left(8-4i\right)}{8+6i}$$

Iddividi iy+\left(8-4i\right) b'8+6i.

$$x=\left(\frac{3}{50}+\frac{2}{25}i\right)y+\left(\frac{2}{5}-\frac{4}{5}i\right)$$

Solvi għal y

$$y=\left(6-8i\right)x+\left(4+8i\right)$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2x+i b'4+3i.

$$\left(8+6i\right)x+\left(-3+4i\right)=5+yi$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$5+yi=\left(8+6i\right)x+\left(-3+4i\right)$$

Naqqas 5 miż-żewġ naħat.

$$yi=\left(8+6i\right)x+\left(-3+4i\right)-5$$

Agħmel l-addizzjonijiet fi -3+4i-5.

$$yi=\left(8+6i\right)x-8+4i$$

L-ekwazzjoni hija f'forma standard.

$$iy=\left(8+6i\right)x+\left(-8+4i\right)$$

Iddividi ż-żewġ naħat b'i.

$$\frac{iy}{i}=\frac{\left(8+6i\right)x+\left(-8+4i\right)}{i}$$

Meta tiddividi b'i titneħħa l-multiplikazzjoni b'i.

$$y=\frac{\left(8+6i\right)x+\left(-8+4i\right)}{i}$$

Iddividi \left(8+6i\right)x+\left(-8+4i\right) b'i.

$$y=\left(6-8i\right)x+\left(4+8i\right)$$