Question

1) 0,8 (0,5 + 2x) = 2x + 0,4 2) 0,2(x - 3) - 1 = 0,5 (x + 3) - 0,4

Answer 1

Ответ:

Пошаговое объяснение:

1)

0,8 (0,5 + 2x) = 2x + 0,4

0,4 + 1,6x = 2x + 0,4

2x - 1,6x = 0,4 - 0,4

0,4x = 0

x = 0

2)

0,2(x - 3) - 1 = 0,5 (x + 3) - 0,4

0,2x - 0,6 - 1 = 0,5x + 1,5 - 0,4

0,2x - 1,6 = 0,5x + 1,1

0,5x - 0,2x = -1,6 - 1,1

0,3x = -2,7

x = -2,7 : 0,3

x = -9

Answer 2

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Answer 3

To solve the given equations, we'll start with the first one:

1. 0.8(0.5 + 2x) = 2x + 0.4

Step 1: Distribute the 0.8 on the left side of the equation: 0.8 * 0.5 + 0.8 * 2x = 2x + 0.4

Step 2: Simplify the left side: 0.4 + 1.6x = 2x + 0.4

Step 3: Move all terms with x to one side and constants to the other side: 1.6x - 2x = 0.4 - 0.4

Step 4: Combine like terms: -0.4x = 0

Step 5: Solve for x: x = 0

Now let's move on to the second equation:

2. 0.2(x - 3) - 1 = 0.5(x + 3) - 0.4

Step 1: Distribute the 0.2 and 0.5 on their respective sides of the equation: 0.2x - 0.6 - 1 = 0.5x + 1.5 - 0.4

Step 2: Combine like terms on both sides: 0.2x - 1.6 = 0.5x + 1.1

Step 3: Move all terms with x to one side and constants to the other side: 0.2x - 0.5x = 1.1 + 1.6

Step 4: Combine like terms: -0.3x = 2.7

Step 5: Solve for x: x = 2.7 / -0.3

x ≈ -9

So, the solutions to the equations are:

1. x = 0
2. x ≈ -9