Question

1) 11+ 2*х=21 2) х-16=8*х 3) 100-х*8=6*х 4) -21-1,7*х=41,4+3,5*х

Answer 1

1) 11 + 2x = 21

2x = 21 - 11

2x = 10

x = 5

2) x - 16 = 8x

8x - x = -16

7x = -16

x = -16/7 = -2 2/7

3) 100 - 8x = 6x

6x + 8x = 100

14x = 100

x = 100/14 = 7 2/14 = 7 1/7

4) -21 - 1,7x = 41,4 + 3,5x

3,5x + 1,7x = -21 - 41,4

5,2x = -62,4

x = -12

Answer 2

To solve these equations, we'll find the value of "x" in each case. Let's solve them one by one:

1. 11 + 2x = 21

To isolate "x," we'll first subtract 11 from both sides, and then divide by 2:

11 + 2x - 11 = 21 - 11 2x = 10 x = 10 / 2 x = 5

So, the solution to the first equation is x = 5.

2. x - 16 = 8x

To isolate "x," we'll first subtract "x" from both sides and then add 16 to both sides:

x - x - 16 = 8x - x -16 = 7x

Now, we'll divide by 7 to find the value of "x":

x = -16 / 7

3. 100 - 8x = 6x

To isolate "x," we'll first add 8x to both sides, and then subtract 100 from both sides:

100 - 8x + 8x = 6x + 8x 100 = 14x

Now, we'll divide by 14 to find the value of "x":

x = 100 / 14 x = 50 / 7

4. -21 - 1.7x = 41.4 + 3.5x

To isolate "x," we'll first add 1.7x and 3.5x to both sides, and then add 21 to both sides:

-21 - 1.7x + 1.7x + 3.5x = 41.4 + 3.5x + 1.7x 1.8x = 41.4 + 21 1.8x = 62.4

Now, we'll divide by 1.8 to find the value of "x":

x = 62.4 / 1.8 x = 34.67 (rounded to two decimal places)

So, the solutions to the equations are:

1. x = 5
2. x = -16/7
3. x = 50/7
4. x = 34.67 (rounded to two decimal places)