Question

rrange the equations in increasing order of the value of their solutions.-2=4–1793+4 = -1.11-163.20 +5.7 = -2.50110.10-1.60+44 = -7!ResetNea

Answer 1

-6, -2, 1, 2

Step-by-step explanation:

We need to solve each expression individually:

1) 1/4 x + 5/2 x - 2 = 4 - 1/4 x

Collecting like terms:

1/4 x + 5/2 x + 1/4 x = 4 + 2

`\begin{gathered} \frac{x\text{ + 5x(2) + x}}{4}=\text{ 6} \\ (12x)/(4)=\text{ 6} \\ 3x\text{ = 6} \\ x\text{ =2} \end{gathered}`

2) 7.9x + x + 4 = -1.1x - 16

Collecting like terms:

7.9x + x + 1.1x = -16 -4

10x = -20

x = -20/10

x = -2

3) 3.2x + 5.7 = -2.5x

Collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 5.7/5.7

x = 1

4) 10.1x - 1.6x + 44 = -7

Collecting like terms:

8.5x = -7-44

8.5x = -51

x = -51/8.5

x = -6

The solutions: 2, -2, 1, -6

Arranging in increasing order of their solution (smallest to the highest):

-6, -2, 1, 2