(3 * x - 1) : 5 = (x + 1) : 3 Решение. 0,5 * y : 4/9 = (y + 3 ) : 8 Уравнения

[latex]1)x= \frac{5}{4} 2)y=- \frac{49}{3} [/latex]

[latex](3x-1):5=(x+1):3[/latex] [latex] \frac{3x-1}{5}= \frac{x+1}{3} [/latex] [latex]5(x+1)=3(3x-1)[/latex] [latex]5x+5=9x-3[/latex] [latex]5x-9x=-3-5[/latex] [latex]-4x=-8[/latex] [latex]x= \frac{-8}{-4} [/latex] [latex]x=2[/latex]; [latex]0,5y: \frac{4}{9}=(y+3):8 [/latex] [latex] \frac{0,5y}{ \frac{4}{9} }= \frac{y+3}{8} [/latex] [latex] \frac{4}{9}(y+3)=8(0,5y) [/latex] [latex] \frac{4}{9}y+1 \frac{1}{3}=4y [/latex] [latex] \frac{4}{9}y-4y=-1 \frac{1}{3} [/latex] [latex] -3\frac{5}{9}y=-1 \frac{1}{3} [/latex] [latex]y=-1 \frac{1}{3}:(-3 \frac{5}{9}) [/latex] [latex]y= \frac{3}{8}=0,375 [/latex]