Question

0,6-1,6(x-4)=3(7-0,4x) 3\4(1/2x+2/3)=3x+2 1/4

Answer 1

1) 0,6 - 1,6(x - 4) = 3(7 - 0,4x)

0,6 - 1,6х + 6,4 = 21 - 1,2х

1,6х -1,2х = 0,6 + 6,4 - 21

0,4х = -14

х = -35

2) 3\4 · (1/2 · x + 2/3) = 3x + 2 1/4

3х/8 + 1/2 = 3х + 2 1/4

умножаем каждое число на 8

3х + 4 = 24х + 18

21х = -14

х = -2/3

Answer 2

Let's solve each equation step-by-step:

1. Solve the equation: 0.6 - 1.6(x - 4) = 3(7 - 0.4x)

Expand the terms: 0.6 - 1.6x + 6.4 = 21 - 1.2x

Combine like terms: -1.6x + 7 = 21 - 1.2x

Add 1.2x to both sides: -1.6x + 1.2x + 7 = 21

Combine the x terms: -0.4x + 7 = 21

Subtract 7 from both sides: -0.4x = 21 - 7 -0.4x = 14

Divide by -0.4 to solve for x: x = 14 / -0.4 x = -35

So, the solution for the first equation is x = -35.

2. Solve the equation: (3/4)(1/2x + 2/3) = 3x + 2 1/4

Distribute the (3/4) on the left side: (3/4)(1/2x) + (3/4)(2/3) = 3x + 2 1/4

Simplify the left side: (3/8)x + 1/2 = 3x + 2 1/4

Subtract (3/8)x from both sides: 1/2 = 3x - (3/8)x + 2 1/4

To combine the x terms, we need to have a common denominator for (3/8)x and 2 1/4. The common denominator is 8, so let's convert 2 1/4 to an improper fraction:

2 1/4 = 9/4

Now, rewrite the equation with a common denominator: 1/2 = (24/8)x - (3/8)x + 9/4

Combine the x terms: 1/2 = (21/8)x + 9/4

Subtract 9/4 from both sides: 1/2 - 9/4 = (21/8)x

To combine the fractions on the left side, find a common denominator, which is 4: 2/4 - 9/4 = (21/8)x

-7/4 = (21/8)x

Now, solve for x by dividing by 21/8: x = (-7/4) ÷ (21/8) x = (-7/4) * (8/21) x = -56/84 x = -2/3

So, the solution for the second equation is x = -2/3.

If you need any further assistance, feel free to ask!