Question

1.2(3b+5)=2 (2.4b-3.6) 3.2 (5x-1)=3.6x-9.4 -3 (2.1x-4)-4.2=1.2 (-5x+0.5)

Answer 1

1.2(3b+5)=2 (2.4b-3.6)
1,2*3b+1,2*5=2*2,4b-2*3,6
3,6b+6=4,8b-7,2
4,8b-3,6b=6+7,2
1,2b=13,2
b=13,2:1,2
b=11


3.2 (5x-1)=3.6x-9.4
3,2*5x-3,2=3,6x-9,4
16x-3,6x=-9,4+3,2
12,4x=-6,2
x=-6,2:12,4
x=-0,5

-3 (2.1x-4)-4.2=1.2 (-5x+0.5)
-3*2,1x+3*4-4,2= -1,2*5x+1,2*0,5
-6,3x+7,8=-6x+0,6
6,3x-6x=7,8-0,6
0,3x=7,2
x=7,2:0,3
x=24

Answer 2

Let's solve each equation step by step:

1. 1.2(3b+5) = 2(2.4b-3.6)

Expand the multiplication on both sides:

3.6b + 6 = 4.8b - 7.2

Move the terms containing 'b' to one side and the constants to the other side:

3.6b - 4.8b = -7.2 - 6

-1.2b = -13.2

Divide both sides by -1.2 to solve for 'b':

b = (-13.2) / (-1.2) b = 11

Therefore, the solution for 'b' in the first equation is b = 11.

2. 3.2(5x-1) = 3.6x - 9.4

Expand the multiplication on the left side:

16x - 3.2 = 3.6x - 9.4

Move the terms containing 'x' to one side and the constants to the other side:

16x - 3.6x = -9.4 + 3.2

12.4x = -6.2

Divide both sides by 12.4 to solve for 'x':

x = (-6.2) / 12.4 x = -0.5

Therefore, the solution for 'x' in the second equation is x = -0.5.

3. -3(2.1x-4) - 4.2 = 1.2(-5x+0.5)

Expand the multiplication on both sides:

-6.3x + 12 - 4.2 = -6x + 0.6

Combine like terms:

-6.3x + 7.8 = -6x + 0.6

Move the terms containing 'x' to one side and the constants to the other side:

-6.3x + 6x = 0.6 - 7.8

-0.3x = -7.2

Divide both sides by -0.3 to solve for 'x':

x = (-7.2) / (-0.3) x = 24

Therefore, the solution for 'x' in the third equation is x = 24.

To summarize, the solutions for the given equations are:

• First equation: b = 11
• Second equation: x = -0.5
• Third equation: x = 24