Question

1)2,5х-8=12-2,5х;2)16,4х-4,8=6,4х+5,2;3)3,7х-1,8=5,2-3,3х;4)-8,4-7,5х=12,5х+11,6.​

Answer 1

Ответ:

1) 2,5х-8=12-2,5х

2,5х+2,5х-8=12

2,5х+2,5х=12+8

5х=20

х=4

2) 16,4х-4,8=6,4х+5,2

16,4х-6,4х-4,8=5,2

16,4х-6,4х=5,2+4,8

10х=10

х=1

3) 3,7х-1,8=5,2-3,3х

3,7х+3,3х=5,2+1,8

7х=7

х=1

4) -8,4-7,5х=12,5х-11,6

-7,5х-12,5х=11,6+8,4

-20х=20

х=-1

Answer 2

To solve these linear equations, we'll isolate the variable x by performing the necessary operations step by step. Here are the solutions for each equation:

1. 2.5x - 8 = 12 - 2.5x:

   Add 2.5x to both sides of the equation to isolate x:

   2.5x + 2.5x - 8 = 12 - 2.5x + 2.5x

   This simplifies to:

   5x - 8 = 12

   Now, add 8 to both sides of the equation to isolate the term with x:

   5x - 8 + 8 = 12 + 8

   5x = 20

   Finally, divide both sides by 5 to solve for x:

   5x / 5 = 20 / 5

   x = 4

   So, the solution is x = 4.

2. 16.4x - 4.8 = 6.4x + 5.2:

   Subtract 6.4x from both sides to isolate x terms on one side:

   16.4x - 6.4x - 4.8 = 5.2

   This simplifies to:

   10x - 4.8 = 5.2

   Now, add 4.8 to both sides:

   10x - 4.8 + 4.8 = 5.2 + 4.8

   10x = 10

   Divide both sides by 10 to solve for x:

   10x / 10 = 10 / 10

   x = 1

   So, the solution is x = 1.

3. 3.7x - 1.8 = 5.2 - 3.3x:

   Add 3.3x to both sides to isolate x terms on one side:

   3.7x + 3.3x - 1.8 = 5.2

   This simplifies to:

   7x - 1.8 = 5.2

   Now, add 1.8 to both sides:

   7x - 1.8 + 1.8 = 5.2 + 1.8

   7x = 7

   Divide both sides by 7 to solve for x:

   7x / 7 = 7 / 7

   x = 1

   So, the solution is x = 1.

4. -8.4 - 7.5x = 12.5x + 11.6:

   Add 7.5x to both sides to isolate x terms on one side:

   -8.4 + 7.5x = 12.5x + 11.6

   Now, subtract 12.5x from both sides:

   -8.4 + 7.5x - 12.5x = 11.6

   Combine like terms:

   -5x - 8.4 = 11.6

   Add 8.4 to both sides:

   -5x - 8.4 + 8.4 = 11.6 + 8.4

   -5x = 20

   Divide both sides by -5 to solve for x:

   (-5x) / -5 = 20 / -5

   x = -4

   So, the solution is x = -4.