
Б)27-4х=х+31 в)7х+5=0 г)3х-(7х-2)=18 решите уравнение


Ответы на вопрос

Объяснение:
27-4х=х+31
-4х+х=31-27
-3х=4
х=-4/3
7х+5=0
7х=0-5
7х=-5
х=-5/7
3х-(7х-2)=18
3х-7х+2=18
-4х=18-2
-4х=16
х=-4



a) To solve the equation 27-4x = x+31, we can simplify it by collecting like terms:
27 - 4x = x + 31
First, let's get rid of the x term on the right side by subtracting x from both sides:
27 - 4x - x = x - x + 31
27 - 5x = 31
Next, let's isolate the x term by subtracting 27 from both sides:
27 - 5x - 27 = 31 - 27
-5x = 4
Finally, divide both sides by -5 to solve for x:
-5x / -5 = 4 / -5
x = -4/5
Therefore, the solution to the equation is x = -4/5.
b) To solve the equation 7x + 5 = 0, we can isolate the x term:
7x + 5 = 0
Subtracting 5 from both sides:
7x + 5 - 5 = 0 - 5
7x = -5
Finally, divide both sides by 7 to solve for x:
7x / 7 = -5 / 7
x = -5/7
Therefore, the solution to the equation is x = -5/7.
c) To solve the equation 3x - (7x - 2) = 18, we need to simplify the expression within the parentheses first:
3x - (7x - 2) = 18
Distribute the negative sign:
3x - 7x + 2 = 18
Combine like terms:
-4x + 2 = 18
Subtract 2 from both sides:
-4x + 2 - 2 = 18 - 2
-4x = 16
Finally, divide both sides by -4 to solve for x:
-4x / -4 = 16 / -4
x = -4
Therefore, the solution to the equation is x = -4.


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