Question

9) 4х – 6 = 2х + 12 10) 3х + 3 = 2х + 13 11) 9 – 3х = 20 – 4х

Answer 1

9) 4х-6=2х+12

4х-2х=6+12

2х=18

х=18/2

х=9

10) 3х+3=2х+13

3х-2х=13-3

х=10

11) 9-3х=20-4х

4х-3х=20-9

х=11

Answer 2

To solve these linear equations, we'll isolate the variable "x" in each equation. Here are the solutions for each equation:

9. 4x - 6 = 2x + 12

First, let's move all the terms containing "x" to one side of the equation and constants to the other side:

4x - 2x = 12 + 6

This simplifies to:

2x = 18

Now, divide both sides by 2 to solve for "x":

2x/2 = 18/2

x = 9

So, the solution is x = 9.

10. 3x + 3 = 2x + 13

First, let's move all the terms containing "x" to one side of the equation and constants to the other side:

3x - 2x = 13 - 3

This simplifies to:

x = 10

So, the solution is x = 10.

11. 9 - 3x = 20 - 4x

First, let's move all the terms containing "x" to one side of the equation and constants to the other side:

9 - 20 = -4x + 3x

Combine like terms:

-11 = -x

Now, to solve for "x," multiply both sides by -1 to isolate "x":

(-1)(-11) = (-1)(-x)

11 = x

So, the solution is x = 11.