Question

The age of father is 5 more than 3 times the age of son. Write a linear equation in two variables to represent this statement and find two solutions.

Answer 1

Answer:

29 fathers age 8 sons age

Answer 2

Step-by-step explanation:

Given :-

The age of father is 5 more than 3 times the age of son.

To find :-

Write a linear equation in two variables to represent this statement and find two solutions?

Solution :-

Let the present age of Son be X years

3 times the age of son = 3×X = 3X years

Let the age of his father be Y years

The age of his father = 5 more than 3 times the age of son.

=> Y = (3X+5) years-----------(1)

=> 3X-Y+5 = 0

This is the required linear equation in two variables

1)

Put X = 0 in (1) then

=> Y = 3(0)+5

=> Y = 0+5

=> Y = 5

The solution = (0,5)

2)

Put Y = 0 in (1) then

=> 0 = 3X+5

=> 3X = -5

=> X = -5/3

The solution = (-5/3 ,0)

Answer:-

The required Linear equation in two variables is 3X-Y+5 = 0

The two solutions for the given equation are (0,5) and (-5/3 ,0)