Question

-5a+2b-3a+3b 3(2m-5)+2(7-3m) -2x=8x-15 0,18x+2,89=0,19x+3,54 2(0,4x-3)-5(0,2x-3)=8,84 0,7(6у – 5) = 0,4(у – 3) – 1,16.

Answer 1

Ответ

1) -5a+2b-3a+3b=-8a+5b

2) 3(2m-5)+2(7-3m)= 6m-15+14-6m=-1

3) -2x=8x-15

   -2x-8x=-15

  -10x=-15

   x=1.5

4) 0,18x+2,89=0,19x+3,54

   0.18x-0.19x=3.54-2.89

   -0.01x=0.65

    x=-65

5) 2(0,4x-3)-5(0,2x-3)=8,84

  0.8x-6-x+15=8.84

  0.7x=8.84+6-15

  0.7x=-0.16

  x=-0.22

6)0,7(6 у – 5) = 0,4(у – 3) – 1,16

  4.2y-3.5=0.4y-1.2-1.16

  4.2y-0.4y=-1.2-1.16+3.5

  3.8y=1.14

  y=0.3

Answer 2

To solve these equations, let's take them one by one:

1. Simplify the expression: -5a + 2b - 3a + 3b Combine the like terms: (-5a - 3a) + (2b + 3b) Simplified expression: -8a + 5b

2. Simplify the expression: 3(2m - 5) + 2(7 - 3m) Distribute the coefficients: 6m - 15 + 14 - 6m Combine the like terms: (6m - 6m) + (-15 + 14) Simplified expression: -1

3. Solve for x in the equation: -2x = 8x - 15 Move all x terms to one side of the equation: -2x - 8x = -15 Combine the x terms: -10x = -15 Divide by the coefficient of x to isolate x: x = (-15) / (-10) Simplified result: x = 1.5

4. Solve for x in the equation: 0.18x + 2.89 = 0.19x + 3.54 Move all x terms to one side of the equation: 0.18x - 0.19x = 3.54 - 2.89 Combine the x terms: -0.01x = 0.65 Divide by the coefficient of x to isolate x: x = 0.65 / (-0.01) Simplified result: x = -65

5. Solve for x in the equation: 2(0.4x - 3) - 5(0.2x - 3) = 8.84 Distribute the coefficients: 0.8x - 6 - 1x + 15 = 8.84 Combine the x terms: 0.8x - 1x = 8.84 - 15 + 6 Combine the constants: -0.2x = -0.16 Divide by the coefficient of x to isolate x: x = (-0.16) / (-0.2) Simplified result: x = 0.8

6. Solve for у in the equation: 0.7(6у – 5) = 0.4(у – 3) – 1.16 Distribute the coefficients: 4.2у - 3.5 = 0.4у - 1.2 - 1.16 Move all у terms to one side of the equation: 4.2у - 0.4у = -3.5 - 1.2 - 1.16 Combine the у terms: 3.8у = -5.86 Divide by the coefficient of у to isolate у: у = (-5.86) / 3.8 Simplified result: у ≈ -1.5447

These are the solutions for the given equations. If you have any more questions or need further assistance, feel free to ask!