Question

А) 3х +1 = 2х - 5 б) 2(х + 7) = 2х + 14 в) 3(х - 1) - 3(5 +х) = 7

Answer 1

3x + 1 = 2x - 5
3x - 2x = - 5 - 1
x = - 6

2(x + 7) = 2x + 14
2x + 14 = 2x + 14
2x - 2x = 14 - 14
0x = 0
Уравнение имеет бесчисленное множество решений

3(x - 1) - 3(5 + x) = 7
3x - 3 - 15 - 3x = 7
0x = 7 + 3 + 15
0x = 25
Уравнение не имеет решений

Answer 2

3х+1=2х-5
3х-2х=-5-1х=-6
2(х+7)=2х+14
2х+14+2х+14 2х-2х+14-14 0х=0

Answer 3

А) To solve the equation 3х + 1 = 2х - 5, you can start by isolating the variable x on one side of the equation.

First, subtract 2х from both sides:

3х + 1 - 2х = 2х - 5 - 2х

Simplifying the left side gives:

х + 1 = -5

Next, subtract 1 from both sides:

х + 1 - 1 = -5 - 1

Simplifying gives:

х = -6

So the solution is x = -6.

Б) To solve the equation 2(х + 7) = 2х + 14, start by distributing the 2 on the left side:

2х + 14 = 2х + 14

Notice that both sides of the equation are the same, which means that the equation is true for all values of x.

Therefore, the solution is any real number.

В) To solve the equation 3(х - 1) - 3(5 + х) = 7, you can start by simplifying the left side:

3х - 3 - 15 - 3х = 7

Simplifying further:

-18 = 7

This is not a true statement, which means that there is no solution to this equation.

Therefore, the equation has no solution.