Question

2•(8+x)=34+x 120:x-120:(x+6)=1

Answer 1

Ответ:

1)16+2х=34+х

2х-х+34-16

х=18

Answer 2

To solve these equations, we can follow these steps:

1. 2•(8+x)=34+x

Let's distribute the 2 on the left side of the equation:

16 + 2x = 34 + x

Now we can isolate x on one side of the equation by subtracting x from both sides:

16 + x = 34

Finally, we can isolate x by subtracting 16 from both sides:

x = 18

Therefore, the solution to the first equation is x = 18.

2. 120:x-120:(x+6)=1

To solve this equation, we can simplify the fractions first:

120/x - 120/(x+6) = 1

Now we can get rid of the fractions by multiplying both sides by the least common multiple of x and x+6, which is x(x+6):

120(x+6) - 120x = x(x+6)

Simplifying:

720 = x^2 + 6x

Rearranging:

x^2 + 6x - 720 = 0

We can factor this equation:

(x + 30)(x - 24) = 0

So the solutions are x = -30 and x = 24. However, we need to reject the negative solution since we cannot have a negative denominator. Therefore, the only solution to the second equation is x = 24.

In summary, the solutions to the two equations are x = 18 and x = 24.