Proporcje:Rozwiąż równania 1) 2/x=3/x-1 2)4/x+1=5/x 3)3/5=2x-1/2-5x 4)2x+1/1-2x=2/3 5)0,4-1/3=2x-5/2 6)4+x kwadrat/x=2x-1/2

1) 2/x=3/x-1 2(x-1)=3x 2x-2=3x 2x-2-3x=0 -x-2=0 -x=2/(-1) x=-2 2)4/x+1=5/x 4x=5(x+1) 4x=5x+5 4x-5x-5=0 -x-5=0 -x=5/(-1) x=-5 3)3/5=2x-1/2-5x 3(2-5x)=5(2x-1) 6-15x=10x-5 6-15x-10x+5=0 11-25x=0 11=25x/:25 11/25=x 4)2x+1/1-2x=2/3 2(1-2x)=3(2x+1) 2-4x=6x+3 2-4x-6x-3=0 -1=10x/:10 -1/10=x

1) 2/x=3/x-1 3x = 2(x-1) 3x = 2x-2 3x-2x = -2 x = -2 2)4/x+1=5/x 4x = 5(x+1) 4x = 5x+5 4x-5x = 5 -x = 5 |*(-1) x = -5 3)3/5=2x-1/2-5x 3(2-5x) = 5(2x-1) 6-15x = 10x-5 -15x-10x = -5-6 -25x = -11 |:-25 x = 11/25 x = 0,44 4)2x+1/1-2x=2/3 2(1-2x) = 3(2x+1) 2-4x = 6x+3 -4x-6x = 3-2 -10x = 1 |:(-10) x = -1/10 x = -0,1 5)0,4-1/3=2x-5/2 3(2x-5) = 2(0,4-1) 6x-15 = 4/5-2 6x = 15-2+0,8 6x = 13,8 |:6 x = 2,3 6)4+x kwadrat/x=2x-1/2 4+x²/x = 2x-1/2 2(4+x²) = x(2x-1) 8+2x² = 2x²-x 2x²-2x²+x = -8 x = -8