Răspuns:
a) x = 15, y = 25; b) x = 14, y = 49
Explicație pas cu pas:
a)
[tex]\frac{x}{y} = \frac{3}{5} \iff 5x = 3y \\[/tex]
[tex]x + y = 40 \implies x = 40 - y[/tex]
[tex]5(40 - y) = 3y \\ 200 - 5y = 3y \\ 8y = 200 \implies \bf y = 25 \\ x = 40 - 25 \implies \bf x = 15[/tex]
b)
[tex]\frac{x}{y} = \frac{2}{7} \iff 7x = 2y \\[/tex]
[tex]x + y = 63 \implies y = 63 - x[/tex]
[tex]7x = 2(63 - x) \\ 7x = 126 - 2x \\ 9x = 126 \implies \bf x = 14 \\ y = 63 - 14 \implies \bf y = 49[/tex]
