Question

Решите уравнение 3х-1=7х+1.Подробно.

Answer 1

Дано линейное уравнение:
3*x-1 = 7*x+1
Переносим свободные слагаемые (без x)
из левой части в правую, получим:
3x=7x+23x=7x+2
Переносим слагаемые с неизвестным x
из правой части в левую:
-4*x = 2
Разделим обе части ур-ния на -4
x = 2 / (-4)
Получим ответ: x = -1/2

Answer 2

Solving the Equation 3x - 1 = 7x + 1

To solve the equation 3x - 1 = 7x + 1, we can follow these steps:

1. Combine Like Terms: Combine the x terms on one side of the equation and the constant terms on the other side. 2. Isolate the Variable: Get x on one side of the equation by performing the necessary operations.

Step 1: Combine Like Terms

The given equation is 3x - 1 = 7x + 1. To solve for x, we need to combine the x terms and the constant terms.

Step 2: Isolate the Variable

Subtract 3x from both sides of the equation to isolate the x term on one side.

3x - 1 - 3x = 7x + 1 - 3x -1 = 4x + 1

Now, subtract 1 from both sides of the equation to isolate the x term.

-1 - 1 = 4x + 1 - 1 -2 = 4x

Finally, divide both sides by 4 to solve for x.

-2 / 4 = 4x / 4 x = -1/2

So, the solution to the equation 3x - 1 = 7x + 1 is x = -1/2.

This solution is obtained by following the standard algebraic procedures for solving linear equations.

(Source 1)(Source 2)