Answer: .
Step-by-step explanation:
This is the answers and their coordinates
So, The value of p is -5/22
Step-by-step explanation:
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
12p+8-30p+5=2p-16-42p+24
-18p+13=-40p+8
-18p+40p=8-13
22p. =-5
p. =-5/22
Question:
The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?
Answer:
The value of t is reduced by 6 when the value of r is increased by 4
Step-by-step explanation:
Given
![2t + 3r + 6 = 0](https://tex.z-dn.net/?f=2t%20%2B%203r%20%2B%206%20%3D%200)
Required
What happens when r is increased by 4
<em>-------- Equation 1</em>
Subtract 2t from both sides
![2t + 3r + 6 - 2t = 0 - 2t](https://tex.z-dn.net/?f=2t%20%2B%203r%20%2B%206%20-%202t%20%3D%200%20-%202t)
--- <em>Equation 2</em>
When r is increased by 4, equation 1 becomes
Note that the increment of r also affects the value of t; hence, the new value of t is represented by T
Open bracket
Rearrange
![2T + 3r+6 +12 = 0](https://tex.z-dn.net/?f=2T%20%2B%203r%2B6%20%2B12%20%3D%200)
<em>Substitutr -2t for 3r + 6 [From equation 2]</em>
![2T -2t +12 = 0](https://tex.z-dn.net/?f=2T%20-2t%20%2B12%20%3D%200)
Make T the subject of formula
![2T = 2t - 12](https://tex.z-dn.net/?f=2T%20%3D%202t%20-%2012)
Divide both sides by 2
![\frac{2T}{2} = \frac{2t - 12}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2T%7D%7B2%7D%20%3D%20%5Cfrac%7B2t%20-%2012%7D%7B2%7D)
![T = t - 6](https://tex.z-dn.net/?f=T%20%3D%20t%20-%206)
This means that the value of t is reduced by 6 when the value of r is increased by 4