Question

А) 0,6(y – 3) – 0,5(y – 1) = 1,5; б) 8х = –62,4 + 5х; в) 1,2х – 0,6 = 0,8x – 27.

Answer 1

Ответ:

Пошаговое объяснение:

а) 0,6(y – 3) – 0,5(y – 1) = 1,5;

0.6у-1.8-0.5у+0.5=1.5

0.6у-0.5у=1.5-0.5+1.8

0.1у=2.8

у=2.8:0.1

у=28

б) 8х = –62,4 + 5х;

8х-5х=-62.4

3х=-62.4

х=-62.4:3

х=-20.8

в) 1,2х – 0,6 = 0,8x – 27.

1.2х-0.8х=0.6-27

0.4х=-26.4

х=-26.4:0.4

х=-66

Answer 2

Let's solve each equation step by step:

a) 0.6(y - 3) - 0.5(y - 1) = 1.5

First, distribute the terms: 0.6y - 1.8 - 0.5y + 0.5 = 1.5

Combine like terms: 0.6y - 0.5y - 1.8 + 0.5 = 1.5

Simplify: 0.1y - 1.3 = 1.5

Add 1.3 to both sides: 0.1y = 1.5 + 1.3

0.1y = 2.8

Divide both sides by 0.1: y = 2.8 / 0.1

y = 28

Therefore, the solution to the equation is y = 28.

b) 8x = -62.4 + 5x

To solve for x, we need to isolate x on one side of the equation.

Subtract 5x from both sides: 8x - 5x = -62.4

Combine like terms: 3x = -62.4

Divide both sides by 3: x = -62.4 / 3

x ≈ -20.8

Therefore, the solution to the equation is x ≈ -20.8.

c) 1.2x - 0.6 = 0.8x - 27

Let's simplify the equation step by step:

Subtract 0.8x from both sides: 1.2x - 0.8x - 0.6 = -27

Combine like terms: 0.4x - 0.6 = -27

Add 0.6 to both sides: 0.4x = -27 + 0.6

0.4x = -26.4

Divide both sides by 0.4: x = -26.4 / 0.4

x = -66

Therefore, the solution to the equation is x = -66.