Question

1) 3(x - 2) = 4x; 3) 5(y + 3) = 10;5) -4(x - 2) = -6;2) 6(2 - 1) = 18;4) 3(2x - 7) = 9;6) 3(x - 5) = x + 3.999.​

Answer 1

вот решение. надеюсь, понятно.

Answer 2

Sure, I can help you solve these equations. Let's go through each one step by step:

1. 3(x - 2) = 4x

First, distribute the 3 on the left side of the equation:

3x - 6 = 4x

Now, subtract 3x from both sides to isolate the variable x:

-6 = x

So, the solution is x = -6.

2. 6(2 - 1) = 18

Simplify the expression inside the parentheses:

6(1) = 18

Now, multiply 6 by 1:

6 = 18

This equation is not true. There is no valid solution for this equation.

3. 5(y + 3) = 10

First, distribute the 5 on the left side of the equation:

5y + 15 = 10

Next, subtract 15 from both sides to isolate the variable y:

5y = 10 - 15 5y = -5

Now, divide both sides by 5 to find the solution for y:

y = -5/5 y = -1

So, the solution is y = -1.

4. 3(2x - 7) = 9

First, distribute the 3 on the left side of the equation:

6x - 21 = 9

Now, add 21 to both sides to isolate the variable x:

6x = 9 + 21 6x = 30

Finally, divide both sides by 6 to find the solution for x:

x = 30/6 x = 5

So, the solution is x = 5.

5. -4(x - 2) = -6

First, distribute the -4 on the left side of the equation:

-4x + 8 = -6

Now, subtract 8 from both sides to isolate the variable x:

-4x = -6 - 8 -4x = -14

Finally, divide both sides by -4 to find the solution for x:

x = -14 / -4 x = 7/2

So, the solution is x = 7/2.

6. 3(x - 5) = x + 3.999

First, distribute the 3 on the left side of the equation:

3x - 15 = x + 3.999

Now, subtract x from both sides to isolate the variable x:

2x - 15 = 3.999

Next, add 15 to both sides:

2x = 3.999 + 15 2x = 18.999

Finally, divide both sides by 2 to find the solution for x:

x = 18.999 / 2 x = 9.4995

So, the solution is x = 9.4995.