zad1 a) 5x-3-3x=3-x 5x - 3x + x= 3 + 3 3x = 6 x= 6 : 3 x= 2 spr. 5x-3-3x=3-x 5 *2 - 3 - 3*2 = 3 - 2 10 - 3 - 6= 1 1=1 L=P b) -5(x-4)=2x-1 -5x + 20 = 2x -1 -5x -2x = -1 - 20 -7x= -21 x= -21 : (-7) x=3 spr. -5(x-4)=2x-1 -5(3 - 4) = 2*3 -1 -5 * (-1) = 5-1 5 = 5 L=P c) 1/2(x+4)*6=7x 1/2(6x + 24) = 7x 3x + 12= 7x 3x - 7x =- 12 -4x = -12 x= - 12 : (-4) x= 3 spr. 1/2(x+4)*6=7x 1/2(3 + 4) * 6= 7*3 1/2 *7 * 6 = 21 1/2*42= 21 21=21 L=P d) x+3/2*8=x-3 x + 3/1 * 4= x-3 x + 12 = x- 3 x -x = -3 - 12 0x= -15 równanie sprzeczne zad2 4x+1=5x-30 4x -5x = -30 -1 -x= -31 /*(-1) x= 31 spr 4x+1=5x-30 4*31 + 1 =5*31 - 30 124 + 1= 155 - 30 125 = 125 L=P 8x+35-6x=4x-5 8x - 6x - 4x= -5 - 35 8x - 10x = -40 -2x= - 40 x= -40 : (-2) x= 20 spr. 8x+35-6x=4x-5 8 * 20 + 35 - 6*20 = 4*20 - 5 160 + 35 - 120 = 80 - 5 195 - 120 = 75 75=75 L=P 4(x+12)-3=9x-25 4x + 48 - 3= 9x - 25 4x +45 = 9x - 25 4x - 9x = -25 - 45 - 5x = -70 x= -70 : (-5) x= 14 spr. 4(x+12)-3=9x-25 4(14 + 12) - 3= 9 * 14 - 25 4 * 26 - 3= 108 - 25 104 - 3= 126 - 25 101 = 101 L=P 7x+36=5x-8+4x 7x + 36 = 9x -8 7x - 9x = - 8 - 36 -2x = - 44 x= -44 : (-2) x= 22 spr. 7x+36=5x-8+4x 7 * 22 + 36 = 5*22 - 8 + 4*22 154 + 36 = 110 - 8 + 88 190 = 102 + 88 190 = 190 L=P x-4=2(2/5x+1) x - 4= 4/5x + 2 x - 4/5x = 2 + 4 1/5x= 6 x= 6 : 1/5 x= 6 * 5/1 x= 30 spr. x-4=2(2/5x+1) 30 -4= 2(2/5 * 30 + 1) 26= 2(2/1 * 6 + 1) 26= 2(12 + 1) 26= 2*13 26 = 26 L=P 6-(15-x)=5-(1-1/2x) 6 - 15 + x= 5 - 1 + 1/2x -9 +x= 4 + 1/2x x - 1/2x= 4 + 9 1/2x= 13 x= 13 : 1/2 x= 13 * 2/1 x= 26 spr. 6-(15-x)=5-(1-1/2x) 6 - (15 - 26) = 5 - (1 - 1/2 * 26) 6 - (-11) = 5-( 1 - 13) 6 + 11= 5 -(-12) 17 = 5 + 12 17 = 17 L=P 4(x+1)=5(x-4) 4x + 4 = 5x - 20 4x - 5x= - 20 - 4 - x= - 24 /*(-1) x= 24 spr. 4(x+1)=5(x-4) 4(24 +1) = 5(24 - 4) 4 *25 = 5 * 20 100 = 100 L=P 5(x-2)=19 i 2/3x-6 5x - 10= 19 i 2/3x-6 5x - 19 i 2/3x = -6 +10 - 14 i 2/3x= 4 x= 4 : (-14 i 2/3) x= 4 : (- 44/3) x= 4 * (-3/44) x= 1 * (-3/11) x= - 3/11 spr. 5(x-2)=19 i 2/3x-6 5(-3/11 - 2) = 19 i 2/3*(-3/11) - 6 5* (-2 i 3/11) = 59/3 *(-3/11) - 6 5 * (-25/11) = 59/1 * (-1/11) - 6 - 125/11 = - 59/11 - 66/1 - 125/11 = -125/11 L=P
