Question

9x-7=6x+14 , 11x-9=4x+19 , 10x-2=14(x-3)

Answer 1

9x-7=6x+14

9x-6x=14+7

3x=21

x=7

11x-9=4x+19

11x-4x=19+9

7x=28

x=4

10x-2=14(x-3)

10x-2=14x-42

10x-14x=-42+2

-4x=-40

x=10

Answer 2

9х-6х=14+7
3х=21
х=21÷3
х=7
11х-4х=19+9
7х=28
х=28÷7
х=4
10х-2=14х-42
10х-14х=-42+2
-4х=-40
х=-40÷(-4)
х=10

Answer 3

To solve these equations, we'll find the value of 'x' that satisfies each equation one by one.

1. 9x - 7 = 6x + 14

To solve this equation, we want to isolate 'x' on one side of the equation. Let's do that:

Subtract 6x from both sides: 9x - 6x - 7 = 6x - 6x + 14

Simplify: 3x - 7 = 14

Now, add 7 to both sides to isolate '3x': 3x - 7 + 7 = 14 + 7

Simplify: 3x = 21

Finally, divide both sides by 3 to find the value of 'x': x = 21 / 3 x = 7

So, the solution for the first equation is x = 7.

2. 11x - 9 = 4x + 19

To solve this equation, follow similar steps:

Subtract 4x from both sides: 11x - 4x - 9 = 4x - 4x + 19

Simplify: 7x - 9 = 19

Add 9 to both sides to isolate '7x': 7x - 9 + 9 = 19 + 9

Simplify: 7x = 28

Finally, divide both sides by 7 to find the value of 'x': x = 28 / 7 x = 4

So, the solution for the second equation is x = 4.

3. 10x - 2 = 14(x - 3)

To solve this equation, we need to distribute the 14 on the right side:

10x - 2 = 14x - 42

Now, let's isolate 'x' on one side by moving the variable terms to one side and the constant terms to the other:

Subtract 10x from both sides: 10x - 10x - 2 = 14x - 10x - 42

Simplify: -2 = 4x - 42

Add 42 to both sides to isolate '4x': -2 + 42 = 4x - 42 + 42

Simplify: 40 = 4x

Finally, divide both sides by 4 to find the value of 'x': x = 40 / 4 x = 10

So, the solution for the third equation is x = 10.

To summarize:

1. x = 7
2. x = 4
3. x = 10