Daca 3x-y/2x+y = 5/4, calculati x/y

Răspuns :

[tex] \frac{3x - y}{2x + y} = \frac{5}{4} [/tex]

[tex]4(3x - y) = 5(2x + y)[/tex]

[tex]12x - 4y = 10x + 5y[/tex]

[tex]12x - 10x = 5y + 4y[/tex]

[tex]2x = 9y \: | \div y[/tex]

[tex] \frac{2x}{y} = 9[/tex]

[tex]2 \times \frac{x}{y} = 9 \: | \div 2[/tex]

[tex] \frac{x}{y} = \frac{9}{2} [/tex]

[tex] \frac{x}{y} = 4.5[/tex]