Question

3x-2=4x 5z+15=10 3(2x-7)=9 6(z-1)=18 3(x+6)=2(x-3) 9(x-3)=5(x+5)

Answer 1

3x-2=4x
3x-4x=2
-1x=2
x=2:(-1)
x=-2

5z+15=10
5z=10-15
5z=-5
z=-5:5
z=-1

3(2x-7)=10
6x-21=10
6x=10+21
6x=31
x=31:6
x=5,5

6(z-1)=18
6z-6=18
6z=18+6
6z=24
z=24:6
z=4

3(x+6)=2(x-3)
3x+18=2x-6
3x-2x=-18+6
1x=-6
x=-6:1
x=-6

9(x-3)=5(x+5)
9x-27=5x+25
9x-5x=27-25
4x=2
x=2:4
x=2/4 или 0,5

Answer 2

Let's solve the given equations one by one:

1. 3x - 2 = 4x

To solve this equation, we'll isolate the variable x on one side of the equation:

3x - 2 = 4x Subtract 3x from both sides: -2 = x

So, x = -2.

2. 5z + 15 = 10

To solve this equation, we'll isolate the variable z:

5z + 15 = 10 Subtract 15 from both sides: 5z = 10 - 15 5z = -5 Divide both sides by 5: z = -1

So, z = -1.

3. 3(2x - 7) = 9

Let's simplify and solve for x:

6x - 21 = 9 Add 21 to both sides: 6x = 9 + 21 6x = 30 Divide both sides by 6: x = 5

So, x = 5.

4. 6(z - 1) = 18

Let's simplify and solve for z:

6z - 6 = 18 Add 6 to both sides: 6z = 18 + 6 6z = 24 Divide both sides by 6: z = 4

So, z = 4.

5. 3(x + 6) = 2(x - 3)

Let's simplify and solve for x:

3x + 18 = 2x - 6 Subtract 2x from both sides: x + 18 = -6 Subtract 18 from both sides: x = -6 - 18 x = -24

So, x = -24.

6. 9(x - 3) = 5(x + 5)

Let's simplify and solve for x:

9x - 27 = 5x + 25 Subtract 5x from both sides: 4x - 27 = 25 Add 27 to both sides: 4x = 52 Divide both sides by 4: x = 13

So, x = 13.

To summarize the solutions:

1. x = -2
2. z = -1
3. x = 5
4. z = 4
5. x = -24
6. x = 13