Răspuns:
c) x=12, y=28; d) x=117, y=26
Explicație pas cu pas:
c)
[tex] \frac{x}{y} = \frac{3}{7} \iff 7x = 3y \\ [/tex]
[tex]y - x = 16 \iff y = 16 + x[/tex]
[tex]7x = 3(16 + x) \iff 7x = 48 + 3x[/tex]
[tex]4x = 48 \implies \bf x = 12[/tex]
[tex]y = 16 + 12 \implies \bf y = 28[/tex]
d)
[tex] \frac{x}{y} = \frac{9}{2} \iff 2x = 9y \\ [/tex]
[tex]x - 2y = 65 \iff x = 65 + 2y[/tex]
[tex]2(65 + 2y) = 9y \iff 130 + 4y = 9y \\ [/tex]
[tex]5y = 130 \implies \bf y = 26[/tex]
[tex]x = 65 + 2 \cdot 26 \implies \bf x = 117[/tex]
