Issolvi (2y+1)x-5=3y-2-x

$$(2y+1)x-5=3y-2-x$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{3}{2}=1.5\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=-1\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2y+1 b'x.

$$2yx+x-5=3y-2-x$$

Żid x maż-żewġ naħat.

$$2yx+x-5+x=3y-2$$

Ikkombina x u x biex tikseb 2x.

$$2yx+2x-5=3y-2$$

Żid 5 maż-żewġ naħat.

$$2yx+2x=3y-2+5$$

Żid -2 u 5 biex tikseb 3.

$$2yx+2x=3y+3$$

Ikkombina t-termini kollha li fihom x.

$$\left(2y+2\right)x=3y+3$$

Iddividi ż-żewġ naħat b'2y+2.

$$\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}$$

Meta tiddividi b'2y+2 titneħħa l-multiplikazzjoni b'2y+2.

$$x=\frac{3y+3}{2y+2}$$

Iddividi 3+3y b'2y+2.

$$x=\frac{3}{2}$$

Solvi għal y (complex solution)

$$\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{3}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2y+1 b'x.

$$2yx+x-5=3y-2-x$$

Naqqas 3y miż-żewġ naħat.

$$2yx+x-5-3y=-2-x$$

Naqqas x miż-żewġ naħat.

$$2yx-5-3y=-2-x-x$$

Ikkombina -x u -x biex tikseb -2x.

$$2yx-5-3y=-2-2x$$

Żid 5 maż-żewġ naħat.

$$2yx-3y=-2-2x+5$$

Żid -2 u 5 biex tikseb 3.

$$2yx-3y=3-2x$$

Ikkombina t-termini kollha li fihom y.

$$\left(2x-3\right)y=3-2x$$

Iddividi ż-żewġ naħat b'-3+2x.

$$\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}$$

Meta tiddividi b'-3+2x titneħħa l-multiplikazzjoni b'-3+2x.

$$y=\frac{3-2x}{2x-3}$$

Iddividi 3-2x b'-3+2x.

$$y=-1$$

Solvi għal x

$$\left\{\begin{matrix}\\x=\frac{3}{2}=1.5\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-1\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2y+1 b'x.

$$2yx+x-5=3y-2-x$$

Żid x maż-żewġ naħat.

$$2yx+x-5+x=3y-2$$

Ikkombina x u x biex tikseb 2x.

$$2yx+2x-5=3y-2$$

Żid 5 maż-żewġ naħat.

$$2yx+2x=3y-2+5$$

Żid -2 u 5 biex tikseb 3.

$$2yx+2x=3y+3$$

Ikkombina t-termini kollha li fihom x.

$$\left(2y+2\right)x=3y+3$$

Iddividi ż-żewġ naħat b'2y+2.

$$\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}$$

Meta tiddividi b'2y+2 titneħħa l-multiplikazzjoni b'2y+2.

$$x=\frac{3y+3}{2y+2}$$

Iddividi 3+3y b'2y+2.

$$x=\frac{3}{2}$$

Solvi għal y

$$\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{3}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2y+1 b'x.

$$2yx+x-5=3y-2-x$$

Naqqas 3y miż-żewġ naħat.

$$2yx+x-5-3y=-2-x$$

Naqqas x miż-żewġ naħat.

$$2yx-5-3y=-2-x-x$$

Ikkombina -x u -x biex tikseb -2x.

$$2yx-5-3y=-2-2x$$

Żid 5 maż-żewġ naħat.

$$2yx-3y=-2-2x+5$$

Żid -2 u 5 biex tikseb 3.

$$2yx-3y=3-2x$$

Ikkombina t-termini kollha li fihom y.

$$\left(2x-3\right)y=3-2x$$

Iddividi ż-żewġ naħat b'-3+2x.

$$\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}$$

Meta tiddividi b'-3+2x titneħħa l-multiplikazzjoni b'-3+2x.

$$y=\frac{3-2x}{2x-3}$$

Iddividi 3-2x b'-3+2x.

$$y=-1$$