Question

5x+8=3x-6 и 3x+7=9+x+2x решите и желательно с объяснением

Answer 1

5х+8=3х-6  
5х-3х=-6-8
2х=-14
х=-14:2
х=-7 

3х+7=9+х+2х 
3х-х-2х=9-7
0=2
х=2:0
х=0

Answer 2

Equation 1: 5x + 8 = 3x - 6

To solve the equation 5x + 8 = 3x - 6, we need to isolate the variable x on one side of the equation. Here's how we can do it:

1. Start by subtracting 3x from both sides of the equation to eliminate the x term on the right side: 5x + 8 - 3x = 3x - 6 - 3x

Simplifying the equation gives us: 2x + 8 = -6

2. Next, subtract 8 from both sides of the equation to isolate the term with x: 2x + 8 - 8 = -6 - 8

Simplifying further, we get: 2x = -14

3. Finally, divide both sides of the equation by 2 to solve for x: (2x)/2 = -14/2

The equation simplifies to: x = -7

Therefore, the solution to the equation 5x + 8 = 3x - 6 is x = -7.

Equation 2: 3x + 7 = 9 + x + 2x

To solve the equation 3x + 7 = 9 + x + 2x, we will follow a similar process:

1. Start by combining like terms on both sides of the equation: 3x + 7 = 9 + x + 2x

Simplifying the equation gives us: 3x + 7 = 9 + 3x

2. Next, subtract 3x from both sides of the equation to eliminate the x term on the right side: 3x + 7 - 3x = 9 + 3x - 3x

Simplifying further, we get: 7 = 9

Since the equation simplifies to 7 = 9, we can see that there is no solution to this equation. The equation is inconsistent, meaning there is no value of x that satisfies the equation.

In summary: - The solution to the equation 5x + 8 = 3x - 6 is x = -7. - The equation 3x + 7 = 9 + x + 2x is inconsistent and has no solution.