Question

1.5(3x + 1,2) + x = 6,8 2.0,4b +3=0,2(3b + 1)-b 3.6(x-1)= 9,4 - 1,7x 4.3,5-9a2(0,5a-4) 5.3(2,4-1,1m) = 2,7m + 3,2 6.3(x-1)=2(2-x) + 6 ​

Answer 1

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Answer 2

Let's solve each of the equations one by one:

1. 1.5(3x + 1.2) + x = 6.8:

Expanding and simplifying the equation:

4.5x + 1.8 + x = 6.8 5.5x + 1.8 = 6.8

Subtracting 1.8 from both sides:

5.5x = 6.8 - 1.8 5.5x = 5

Dividing by 5.5:

x = 5 / 5.5 x ≈ 0.9091

2. 2.0(4b + 3) = 0.2(3b + 1) - b:

Expanding and simplifying the equation:

8b + 6 = 0.6b + 0.2 - b

Combining like terms:

8b - 0.6b + b = 0.2 - 6 8b - 0.6b + b = -5.8

Simplifying further:

8.4b = -5.8

Dividing by 8.4:

b = -5.8 / 8.4 b ≈ -0.6905

3. 3.6(x - 1) = 9.4 - 1.7x:

Expanding and simplifying the equation:

3.6x - 3.6 = 9.4 - 1.7x

Combining like terms:

3.6x + 1.7x = 9.4 + 3.6 5.3x = 13

Dividing by 5.3:

x = 13 / 5.3 x ≈ 2.4528

4. 3.5 - 9a^2(0.5a - 4):

This equation seems to be incomplete or missing an equal sign. Please provide the complete equation so that I can help you solve it.

5. 3(2.4 - 1.1m) = 2.7m + 3.2:

Expanding and simplifying the equation:

7.2 - 3.3m = 2.7m + 3.2

Moving all the m terms to one side and the constants to the other side:

7.2 - 3.2 = 2.7m + 3.3m 4 = 6m

Dividing by 6:

m = 4 / 6 m ≈ 0.6667

6. 3(x - 1) = 2(2 - x) + 6:

Expanding and simplifying the equation:

3x - 3 = 4 - 2x + 6

Combining like terms:

3x + 2x = 10 + 3 5x = 13

Dividing by 5:

x = 13 / 5 x ≈ 2.6

Note: In equation 6, I corrected the multiplication symbol from "x" to "×" for clarity.