Question

1) 4 (13-3х)-17=-5х 2) (18-3х)-(4+2х)=103)14-х=0.5 (4-2х)+124) 4х-3 (20-х)=10х-3 (11+х)

Answer 1

1)52-12х-17=-5х
-12х+5х=17-52
-7х=-35
Х=5
2)18-3х-4-2х=10
-3х-2х=10-18+4
-5х=-4
Х=0,8
3)14-х=2-х+12
-х+х=2+12-14
0=0
4)4х-60+3х=10х-33-3х
0=60-33
0=27
короче последнее неправильное

Answer 2

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

1. 4(13 - 3x) - 17 = -5x

First, distribute the 4 on the left side:

52 - 12x - 17 = -5x

Combine like terms:

35 - 12x = -5x

Now, add 12x to both sides to isolate the x term:

35 = 7x

Now, divide by 7 to solve for x:

x = 35 / 7 x = 5

2. (18 - 3x) - (4 + 2x) = 10

First, distribute the negative sign on the right side:

18 - 3x - 4 - 2x = 10

Combine like terms:

(18 - 4) - 3x - 2x = 10

14 - 5x = 10

Now, subtract 14 from both sides:

-5x = 10 - 14 -5x = -4

Now, divide by -5 to solve for x:

x = -4 / -5 x = 4/5

3. 14 - x = 0.5(4 - 2x) + 12

First, distribute the 0.5 on the right side:

14 - x = 2 - x + 12

Now, add x to both sides to isolate the x term:

14 = 2 + 12

14 = 14

This equation simplifies to 14 = 14, which is always true. Therefore, this equation has infinitely many solutions, meaning any value of x will satisfy it.

4. 4x - 3(20 - x) = 10x - 3(11 + x)

First, distribute the -3 on both sides:

4x - 60 + 3x = 10x - 33 - 3x

Combine like terms:

7x - 60 = 7x - 33

Now, subtract 7x from both sides:

-60 = -33

This equation simplifies to -60 = -33, which is not true. In this case, there is no solution that will make the equation true. It's an inconsistent equation.