Question

A) 0,2(6r-5) - 4(0,2x - 2):6) 0,4(1,5y + 3) = 2,5(3 - 0,6y).​

Answer 1

Ответ:

Пошаговое объяснение:

A)0.2(6r-5)=0.2*6r-5*0.2=1.2r-1

   4(0.2x-2)=0.8x-8

   1.2r-1-(0.8x-1)=1.2r-1-0.8x+1=1.2r-0.8x

B)0.4(1.5y+3)=2.5(3-0.6y)

   0.6y+1.2=7.5-1.5y

   2.1y=6.3

   y=3

Answer 2

To solve the equation:

0.2(6r - 5) - 4(0.2x - 2)/6 = 0.4(1.5y + 3) = 2.5(3 - 0.6y)

Let's break it down step by step:

1. Start by simplifying the expressions within the parentheses:

0.2(6r - 5) - (4/6)(0.2x - 2) = 0.4(1.5y + 3) = 2.5(3 - 0.6y)

2. Further simplify each part:

0.2(6r - 5) - (2/3)(0.2x - 2) = 0.4(1.5y + 3) = 2.5(3 - 0.6y)

3. Distribute the constants within the parentheses:

1.2r - 1 - (2/3)(0.2x - 2) = 0.6y + 1.2 = 7.5 - 1.5y

4. Simplify the fractions:

1.2r - 1 - (0.4/3)(0.2x - 2) = 0.6y + 1.2 = 7.5 - 1.5y

5. Continue simplifying:

1.2r - 1 - (0.08x - 0.8/3) = 0.6y + 1.2 = 7.5 - 1.5y

6. Combine like terms on both sides:

1.2r - 1 - 0.08x + 0.8/3 = 0.6y + 1.2 = 7.5 - 1.5y

7. Add 1 to both sides:

1.2r - 0.08x + 0.8/3 = 0.6y + 2.2 = 7.5 - 1.5y

8. Move terms involving y to the left side and other terms to the right side:

1.2r + 1.5y = 0.08x - 0.8/3 + 2.2 = 7.5

9. Combine constants on the right side:

1.2r + 1.5y = 0.08x + 1.4 = 7.5

10. Subtract 1.4 from both sides:

1.2r + 1.5y - 1.4 = 0.08x = 7.5 - 1.4

11. Simplify the right side:

1.2r + 1.5y - 1.4 = 0.08x = 6.1

12. Divide by 0.08 to isolate x:

(1.2r + 1.5y - 1.4)/0.08 = x

So, the solution to the equation is:

x = (1.2r + 1.5y - 1.4)/0.08