Question

1)(8,8x+4,7)-(5,4+2,2)=1,6 2) (7,4x-12,3x)-(1,56-2,3x)=2,6x 3) -(2,92-8,2x)-(1,6-4,7+2,9x)=3,2 4) -(4,1x-5,5x)-(7,3x+3,6)= -5,3x

Answer 1

#1
(8.8x+4.7)-(5.4+2.2)=1.6
8.8x+4.7-5.4-2.2=1.6
8.8x=1.6-4.7+5.4+2.2
8.8x=4.5
x= $\frac{4.5}{8.8}= \frac{45}{88}$
#2
(7.4x-12.3x)-(1.56-2.3x)=2.6x
7.4x-12.3x-1.56+2.3x=2.6x
7.4x-12.3x+2.3x-2.6x=1.56
-5.2x=1.56
x=-0.3
#3
-(2.92-8.2x)-(1.6-4.7+2.9x)=3.2
-2.92+8.2x-1.6+4.7-2.9x=3.2
8.2x-2.9x=3.2+2.92+1.6-4.7
5.3x=3.02
x= $\frac{3.02}{5.3}$
#4
-(4.1x-5.5x)-(7.3x+3.6)=-5.3x
-4.1x+5.5x-7.3x-3.6=-5.3x
-4.1x+5.5x-7.3x+5.3x=3.6
-0.6x=3.6
x=-6

Answer 2

These are expressions representing vector operations. To solve them, we can use the following rules of vector addition and subtraction:

• To add two vectors, add their corresponding components.
• To subtract two vectors, subtract their corresponding components.

Using these rules, we can solve the expressions:

1. (8,8x+4,7)-(5,4+2,2) = (8-5, 8x+4-4, 7-2) = (3, 8x, 5)

2. (7,4x-12,3x)-(1,56-2,3x) = (7-1, 4x-12-(56-2), 3x-(-2,3x)) = (6, -54+4x, 5,3x+2)

3. -(2,92-8,2x)-(1,6-4,7+2,9x) = (-2-1, -(92-8,2x)-(6-4,7-2,9x)) = (-3, -83+10,1x, 2,9x)

4. -(4,1x-5,5x)-(7,3x+3,6) = (-4-7, -(1x-5,5x)-(3x+3,6)) = (-11, -6,5x-3,6)

Therefore, the solutions for the given expressions are:

1. (3, 8x, 5)
2. (6, -54+4x, 5,3x+2)
3. (-3, -83+10,1x, 2,9x)
4. (-11, -6,5x-3,6)