Question

(36-16* x)*4=160 (3742-x):54=69 (3742+x):54=69

Answer 1

(36 - 16 * х) * 4 = 160
36 - 16 * х = 160 : 4
36 - 16 * х = 40
16 * х = 36 - 40
16 * х = - 4 
х = - 4 : 16
х = - 0,25
Проверка: (36 - 16 * (-0,25)) * 4 = 160
                  (36 + 4) * 4 = 160
                   40 * 4 = 160
                   160 = 160

(3742 - х) : 54 = 69
3742 - х = 69 * 54
3742 - х = 3726
х = 3742 - 3726
з = 16
Проверка: (3742 - 16) : 54 = 69
                  3726 : 54 = 69
                  69 = 69

(3742 + х) : 54 = 69
3742 + х = 69 * 54
3742 + х = 3726
х = 3726 - 3742
х = - 16
Проверка: (3742 - 16) : 54 = 69
                   3726 : 54 = 69
                   69 = 69
                

Answer 2

Let's solve these equations one by one:

1. (36-16*x)*4=160

First, we simplify the left-hand side of the equation by multiplying 4 to the expression in parentheses:

Copy code
144 - 64*x = 160

Then, we isolate the variable term by subtracting 144 from both sides:

diffCopy code
-64*x = 16

Finally, we solve for x by dividing both sides by -64:

makefileCopy code
x = -0.25

Therefore, the solution to this equation is x = -0.25.

2. (3742-x):54=69

To solve this equation, we can multiply both sides by 54:

yamlCopy code
3742 - x = 54 * 69

Simplifying the right-hand side:

yamlCopy code
3742 - x = 3726

Then, we isolate the variable term by subtracting 3742 from both sides:

diffCopy code
-x = -16

Finally, we solve for x by dividing both sides by -1:

makefileCopy code
x = 16

Therefore, the solution to this equation is x = 16.

3. (3742+x):54=69

This equation is very similar to the previous one. To solve it, we can follow the same steps:

yamlCopy code
3742 + x = 54 * 69

Simplifying the right-hand side:

yamlCopy code
3742 + x = 3726

Then, we isolate the variable term by subtracting 3742 from both sides:

makefileCopy code
x = -16

Therefore, the solution to this equation is x = -16.

In summary, the solutions to the given equations are:

markdownCopy code
1. x = -0.25
2. x = 16
3. x = -16