Answer:
<h3>
present age of son = 10 </h3><h3>
present age of father = 40</h3>
Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,
![y + 5 = 3(x + 5)](https://tex.z-dn.net/?f=y%20%2B%205%20%3D%203%28x%20%2B%205%29)
Put the value of y from equation ( i )
![4x + 5 = 3(x + 5)](https://tex.z-dn.net/?f=4x%20%2B%205%20%3D%203%28x%20%2B%205%29)
Distribute 3 through the parentheses
![4x + 5 = 3x + 15](https://tex.z-dn.net/?f=4x%20%2B%205%20%3D%203x%20%2B%2015)
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign
![4x - 3x = 15 - 5](https://tex.z-dn.net/?f=4x%20-%203x%20%3D%2015%20-%205)
Collect like terms
![x = 15 - 5](https://tex.z-dn.net/?f=x%20%3D%2015%20-%205)
Calculate the difference
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Now, put the value of X in equation ( i ) in order to find the present age of father
![y = 4x](https://tex.z-dn.net/?f=y%20%3D%204x)
plug the value of X
![= 4 \times 10](https://tex.z-dn.net/?f=%20%3D%204%20%5Ctimes%2010)
Calculate the product
![= 40](https://tex.z-dn.net/?f=%20%3D%2040)
Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!
Yes I’m pretty sure that they do
Given:
The system of inequalities is
![x\leq 5](https://tex.z-dn.net/?f=x%5Cleq%205)
![x\geq a](https://tex.z-dn.net/?f=x%5Cgeq%20a)
To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
![a\leq x\leq 5](https://tex.z-dn.net/?f=a%5Cleq%20x%5Cleq%205)
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
Answer:
WHAT IS THE NAME OF THIS CHAPTER
Step-by-step explanation: