Question

3х + 5 = х + 11; 2) 5 (х – 6) = 9х – 41; 3) 6х – (2х – 8) = 4 (х + 2); 4) 3х – х – 11 = х + х + 14; 5) -31х = -5х – 26;

Answer 1

1) 3x+5=x+11
2x=6
X=3

2) 5(x-6)=9x-41
5x-30=9x-41
-4x=-11
X=2,75

3) 6x-(2x-8)=4(x+2)
6x-2x+8=4x+8
0=0

4)3x-x-11=x+x+14
Решений нет

5)-31x=-5x-26
-26x=-26
X=1

Вроде так

Answer 2

To solve these equations, you need to isolate the variable x by performing the necessary operations to get x on one side of the equation and all constants on the other side. Here are the solutions for each of the equations:

1. 3x + 5 = x + 11

   To isolate x, subtract x from both sides and subtract 5 from both sides:

   3x - x + 5 - 5 = x - x + 11 - 5 2x = 6

   Divide both sides by 2 to solve for x:

   2x / 2 = 6 / 2 x = 3

2. 5(x - 6) = 9x - 41

   Distribute the 5 on the left side of the equation:

   5x - 30 = 9x - 41

   To isolate x, subtract 5x from both sides and add 41 to both sides:

   5x - 5x - 30 + 30 + 41 = 9x - 5x - 41 + 41 11 = 4x

   Divide both sides by 4 to solve for x:

   11 / 4 = 4x / 4 x = 11/4 or x = 2.75

3. 6x - (2x - 8) = 4(x + 2)

   Distribute the 4 on the right side of the equation:

   6x - 2x + 8 = 4x + 8

   Now, simplify the equation:

   4x + 8 = 4x + 8

   The equation simplifies to 8 = 8, which is always true. This means that the equation has infinitely many solutions, and any value of x will satisfy it.

4. 3x - x - 11 = x + x + 14

   Simplify both sides of the equation by combining like terms:

   2x - 11 = 2x + 14

   Now, subtract 2x from both sides:

   2x - 2x - 11 = 2x - 2x + 14 -11 = 14

   The equation simplifies to -11 = 14, which is not true for any value of x. Therefore, this equation has no solution.

5. -31x = -5x - 26

   To isolate x, add 5x to both sides:

   -31x + 5x = -5x + 5x - 26 -26x = -26

   Divide both sides by -26 to solve for x:

   (-26x) / (-26) = (-26) / (-26) x = 1

So, the solutions are:

1. x = 3
2. x = 11/4 or x = 2.75
3. Infinitely many solutions
4. No solution
5. x = 1