Задание 2. Найдите корни линейного уравнения. 1) 3x+5+(x+5)=(1-x)+4 2) x-3-4(x+1)=5(4-x)-1 3) 4x+4-3(x+1)=5(-2-x)+5 4) 2x+2+3(x+4)=-4(1-x)+3 5) -3x+1+(x-5)=5(3-x)+5 6) -x-4+5(x+3)=5(-1-x)-2 7) -3x+1-3(x+3)=-2(1-x)+2 8) -5x-2+4(x+1)=4(-3-x)-1

Привет! Давай найдем корни линейных уравнений. Разбираемся: 1) 3x + 5 + (x + 5) = (1 - x) + 4 3x + 5 + x + 5 = 1 - x + 4 4x + 10 = 5 - x 4x + x = 5 - 10 5x = -5 x = -1 2) x - 3 - 4(x + 1) = 5(4 - x) - 1 x - 3 - 4x - 4 = 20 - 5x - 1 -3x - 7 = 19 - 5x -3x + 5x = 19 + 7 2x = 26 x = 13 3) 4x + 4 - 3(x + 1) = 5(-2 - x) + 5 4x + 4 - 3x - 3 = -10 - 5x + 5 x + 1 = -5 - 5x x + 5x = -5 - 1 6x = -6 x = -1 4) 2x + 2 + 3(x + 4) = -4(1 - x) + 3 2x + 2 + 3x + 12 = -4 + 4x + 3 5x + 14 = -1 + 4x 5x - 4x = -1 - 14 x = -15 5) -3x + 1 + (x - 5) = 5(3 - x) + 5 -3x + 1 + x - 5 = 15 - 5x + 5 -2x - 4 = 20 - 5x -2x + 5x = 20 + 4 3x = 24 x = 8 6) -x - 4 + 5(x + 3) = 5(-1 - x) - 2 -x - 4 + 5x + 15 = -5 - 5x - 2 4x + 11 = -7 - 5x 4x + 5x = -7 - 11 9x = -18 x = -2 7) -3x + 1 - 3(x + 3) = -2(1 - x) + 2 -3x + 1 - 3x - 9 = -2 + 2x + 2 -6x - 8 = 2x -6x - 2x = 8 -8x = 8 x = -1 8) -5x - 2 + 4(x + 1) = 4(-3 - x) - 1 -5x - 2 + 4x + 4 = -12 - 4x - 1 -x + 2 = -13 - 4x -x + 4x = -13 - 2 3x = -15 x = -5

Ответы:

• 1) x = -1
• 2) x = 13
• 3) x = -1
• 4) x = -15
• 5) x = 8
• 6) x = -2
• 7) x = -1
• 8) x = -5