Question

1/3х+6=2х 5/6х+3=1/6х 1/2 (4х-2)=-7 1/3 (3х-6)-2/7 (7х-21)=9

Answer 1

1) x=3,6 2)x=-4,5 3)x=-3 4)x=-5

Answer 2

Let's solve each equation one by one:

1. 1/3х+6=2х

Subtract 1/3x from both sides:

6 = 5/3x

Multiply both sides by 3/5:

x = 18/5 or 3.6

2. 5/6х+3=1/6х

Subtract 1/6x from both sides:

3 = -2/6x

Simplify:

3 = -1/3x

Multiply both sides by -3:

x = -9

3. 1/2 (4х-2)=-7

Distribute the 1/2:

2x-1=-14

Add 1 to both sides:

2x=-13

Divide both sides by 2:

x=-6.5

4. 1/3 (3х-6)-2/7 (7х-21)=9

Simplify the first term:

x-2 - 2/7 (7x-21)=9

Simplify the second term:

x-2 - 2(x-3) = 9

Distribute the -2:

x-2 - 2x + 6 = 9

Combine like terms:

• x + 4 = 9

Subtract 4 from both sides:

• x = 5

Multiply both sides by -1:

x = -5

Therefore, the solutions are:

x = 18/5 or 3.6 x = -9 x = -6.5 x = -5