Question

-2x+18=0 решите уравнения 5х+6=3х-1012х+12=3(х-8)х-5/4 = 3+х/2​

Answer 1

1)-2х+18=0

-2х=-18

Х =9

2)5х+6=3х-10

5х-3х=-10-6

2х=-16

Х=-8

3)13х+12=3(х-8)

12х+12=3х-24

12х-3х=-24-12

9х=-36

Х=-4

4)х-5/4=3+х/2

4х-5=12+2х

4х-2х=12+5

2х=17

Х=8.5

Answer 2

Let's solve each of the equations step by step:

1. -2x + 18 = 0

To solve this equation, we want to isolate x on one side of the equation. First, let's get rid of the constant term (18) by subtracting 18 from both sides:

-2x + 18 - 18 = 0 - 18

Simplifying:

-2x = -18

Next, divide both sides by -2 to isolate x:

x = -18 / -2

x = 9

So the solution to the equation -2x + 18 = 0 is x = 9.

2. 5x + 6 = 3x - 10

To solve this equation, again, we want to isolate x on one side of the equation. First, let's bring all the x terms to one side by subtracting 3x from both sides:

5x - 3x + 6 = 3x - 3x - 10

Simplifying:

2x + 6 = -10

Next, let's get rid of the constant term (6) by subtracting 6 from both sides:

2x + 6 - 6 = -10 - 6

Simplifying:

2x = -16

Finally, divide both sides by 2 to isolate x:

x = -16 / 2

x = -8

So the solution to the equation 5x + 6 = 3x - 10 is x = -8.

3. 12x + 12 = 3(x - 8)

To solve this equation, first distribute the 3 on the right side:

12x + 12 = 3x - 24

Next, bring all the x terms to one side by subtracting 3x from both sides:

12x - 3x + 12 = 3x - 3x - 24

Simplifying:

9x + 12 = -24

Now, get rid of the constant term (12) by subtracting 12 from both sides:

9x + 12 - 12 = -24 - 12

Simplifying:

9x = -36

Finally, divide both sides by 9 to isolate x:

x = -36 / 9

x = -4

So the solution to the equation 12x + 12 = 3(x - 8) is x = -4.

4. (x - 5)/4 = 3 + x/2

To solve this equation, first, let's get rid of the fraction by multiplying both sides by 4:

4 * ((x - 5)/4) = 4 * (3 + x/2)

Simplifying:

x - 5 = 12 + 2x

Next, bring all the x terms to one side by subtracting x from both sides:

x - x - 5 = 12 + 2x - x

Simplifying:

-5 = 12 + x

Now, get rid of the constant term (12) by subtracting 12 from both sides:

-5 - 12 = 12 + x - 12

Simplifying:

-17 = x

So the solution to the equation (x - 5)/4 = 3 + x/2 is x = -17.

I have solved all four equations, and each one has a unique solution for x.