a) 8x+5=7x 8x - 7x = -5 x = -5 spr. L(-5)= 8*(-5 ) + 5 =- 40+5 = -35 P(5) = 7*(-5) = -35 L(-5) = P(-5) b) 7n+2=6n-3 7n - 6n = -3 -2 n = -5 L(-5) = 7*(-5) + 2 = -35 +2 = -33 P(-5) = 6*(-5) -3 = -30 -3 = -33 L(-5) = P(-5) c) -x+25=2x-2 -x -2x = -2 -25 -3x = -27 x = (-27) : (-3)= 9 x = 9 L(9) = -9 + 25 = 16 P(9) = 2*9 -2= 18 -2 = 16 L(9)= P(9) d) -9z-7=-z-6 -9z +z = -6 +7 -8z = 1 z = -1/8 L(-1/8 ) = (-9)*(-1/8) -7 = 9/8 - 56/8 = -47/8 = -5 i 7/8 P(-1/8) = -(-1/8) -6 = 1/8 -6 = -5i 7/8 L e) 25m-3=24m-4 25m -24m = -4 +3 m = -1 L(-1) = 25*(-1) -3 = -25 -3 = -28 P(-1) = 24*(-1) -4 = -24 -4 = -28 P(-1) = L(-1) f) -s+15=4s-14 -s -4s = -14 -15 -5s = -29 s = (-29) : (-5) = 29/5 s = 29/5 L(29/5)= -29/5 + 15 = -5,8 + 15= 9,2 P(29/5) = 4*29/5 - 14 = 23,2 - 14 = 9,2 L(29/5) = P(29/5) g) 17y+28=19y+27 17y - 19y = 27 -28 -2y = -1 y = (-1) : (-2) = 1/2 y = 1/2 L(1/2) = 17*1/2 + 28 = 8,5 = 28 = 36,5 P(1/2) = 19*1/2 + 27 = 9,5 + 27 = 36,5 l(1/2) = P(1/2) h) 8k-19=-8k+19 8k +8k = 19 +19 16k = 38 k = 38 : 16 k = 19/8 L(19/8)= 8*19/8 - 19 = 19 - 19 = 0 P(19/8) = -8*19/8 + 19 = -19 + 19 = 0 L(19/8) = P(19/8)
a)8x+5=7x / -8x 5 = -x / *(-1) -5= x x = -5 spr. 8 * (-5) + 5 = 7 * (-5) -40 + 5 = -35 -35 = -35 b)7n+2=6n-3 / -6n / -2 n = -5 spr. 7 * (-5) +2 = 6 * (-5) - 3 -35 + 2 = -30 -3 -33 = -33 c)-x+25=2x-2 / +x /+2 27 = 3x / :3 9 = x spr. -9+25 = 2*9 - 2 16 = 18 - 2 16 = 16 d)-9z-7=+-z-6 -9z-7=-z-6 / +7 / +z -8z = 1 /:(-8) z= - 1/8 spr. -9 * (-1/8) -7 = - (-1/8) - 6 1,125 - 7 = 0,125 - 6 -5,875 = -5,875 e)25m-3=24m-4 /-24m /+3 m = -1 spr. 25 * (-1) -3 = 24 * (-1) - 4 -25 -3 = -24 - 4 -28 = -28 f)-s+15=4s-14 /+s / +14 29 = 5s /:5 5,8 = s s = 5,8 spr. -5,8 +15 = 4 * 5,8 - 14 9,2 = 23,2 - 14 9,2 = 9,2 g)17y+28=19y+27 / -17y /-27 1 = 2y / :2 0,5 = y spr. 17 * 0,5 + 28= 19 * 0,5 + 27 8,5 + 28 = 9,5 + 27 36,5 = 36,5 h)8k-19=-8k+19 / + 8k / +19 16k = 38 / :16 k = 2,375 spr. 8 * 2,375 - 19 = -8 * 2,375 + 19 19 - 19 = -19 + 19 0 = 0
