Issolvi f(2a)+2f(b)=5(5(a+b))

$$f ( 2 a ) + 2 f ( b ) = 5 ( 5 ( a + b ) )$$

Solvi għal a (complex solution)

$$\left\{\begin{matrix}\\a=-b\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&f=\frac{25}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 5 u 5 biex tikseb 25.

$$f\times 2a+2fb=25\left(a+b\right)$$

Uża l-propjetà distributtiva biex timmultiplika 25 b'a+b.

$$f\times 2a+2fb=25a+25b$$

Naqqas 25a miż-żewġ naħat.

$$f\times 2a+2fb-25a=25b$$

Naqqas 2fb miż-żewġ naħat.

$$f\times 2a-25a=25b-2fb$$

Ikkombina t-termini kollha li fihom a.

$$\left(f\times 2-25\right)a=25b-2fb$$

L-ekwazzjoni hija f'forma standard.

$$\left(2f-25\right)a=25b-2bf$$

Iddividi ż-żewġ naħat b'-25+2f.

$$\frac{\left(2f-25\right)a}{2f-25}=\frac{b\left(25-2f\right)}{2f-25}$$

Meta tiddividi b'-25+2f titneħħa l-multiplikazzjoni b'-25+2f.

$$a=\frac{b\left(25-2f\right)}{2f-25}$$

Iddividi b\left(25-2f\right) b'-25+2f.

$$a=-b$$

Solvi għal b (complex solution)

$$\left\{\begin{matrix}\\b=-a\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&f=\frac{25}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 5 u 5 biex tikseb 25.

$$f\times 2a+2fb=25\left(a+b\right)$$

Uża l-propjetà distributtiva biex timmultiplika 25 b'a+b.

$$f\times 2a+2fb=25a+25b$$

Naqqas 25b miż-żewġ naħat.

$$f\times 2a+2fb-25b=25a$$

Naqqas f\times 2a miż-żewġ naħat.

$$2fb-25b=25a-f\times 2a$$

Immultiplika -1 u 2 biex tikseb -2.

$$2fb-25b=25a-2fa$$

Ikkombina t-termini kollha li fihom b.

$$\left(2f-25\right)b=25a-2fa$$

L-ekwazzjoni hija f'forma standard.

$$\left(2f-25\right)b=25a-2af$$

Iddividi ż-żewġ naħat b'-25+2f.

$$\frac{\left(2f-25\right)b}{2f-25}=\frac{a\left(25-2f\right)}{2f-25}$$

Meta tiddividi b'-25+2f titneħħa l-multiplikazzjoni b'-25+2f.

$$b=\frac{a\left(25-2f\right)}{2f-25}$$

Iddividi a\left(25-2f\right) b'-25+2f.

$$b=-a$$

Solvi għal a

$$\left\{\begin{matrix}\\a=-b\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&f=\frac{25}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 5 u 5 biex tikseb 25.

$$f\times 2a+2fb=25\left(a+b\right)$$

Uża l-propjetà distributtiva biex timmultiplika 25 b'a+b.

$$f\times 2a+2fb=25a+25b$$

Naqqas 25a miż-żewġ naħat.

$$f\times 2a+2fb-25a=25b$$

Naqqas 2fb miż-żewġ naħat.

$$f\times 2a-25a=25b-2fb$$

Ikkombina t-termini kollha li fihom a.

$$\left(f\times 2-25\right)a=25b-2fb$$

L-ekwazzjoni hija f'forma standard.

$$\left(2f-25\right)a=25b-2bf$$

Iddividi ż-żewġ naħat b'-25+2f.

$$\frac{\left(2f-25\right)a}{2f-25}=\frac{b\left(25-2f\right)}{2f-25}$$

Meta tiddividi b'-25+2f titneħħa l-multiplikazzjoni b'-25+2f.

$$a=\frac{b\left(25-2f\right)}{2f-25}$$

Iddividi b\left(25-2f\right) b'-25+2f.

$$a=-b$$

Solvi għal b

$$\left\{\begin{matrix}\\b=-a\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&f=\frac{25}{2}\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 5 u 5 biex tikseb 25.

$$f\times 2a+2fb=25\left(a+b\right)$$

Uża l-propjetà distributtiva biex timmultiplika 25 b'a+b.

$$f\times 2a+2fb=25a+25b$$

Naqqas 25b miż-żewġ naħat.

$$f\times 2a+2fb-25b=25a$$

Naqqas f\times 2a miż-żewġ naħat.

$$2fb-25b=25a-f\times 2a$$

Immultiplika -1 u 2 biex tikseb -2.

$$2fb-25b=25a-2fa$$

Ikkombina t-termini kollha li fihom b.

$$\left(2f-25\right)b=25a-2fa$$

L-ekwazzjoni hija f'forma standard.

$$\left(2f-25\right)b=25a-2af$$

Iddividi ż-żewġ naħat b'-25+2f.

$$\frac{\left(2f-25\right)b}{2f-25}=\frac{a\left(25-2f\right)}{2f-25}$$

Meta tiddividi b'-25+2f titneħħa l-multiplikazzjoni b'-25+2f.

$$b=\frac{a\left(25-2f\right)}{2f-25}$$

Iddividi a\left(25-2f\right) b'-25+2f.

$$b=-a$$