Question

father age is 5 years more than 6 times the age of the son Express this as a linear equation in two variable and also plot the graph ​

Answer 1

Answer:

here's your Answer

Let the father's age be xd and son's age be y

According to given conditions

father's age is 5 years more than 6 times the age of son.

Therefore,

x = 5 + (6 × y)

x = 5 + 6y

x - 6y = 5

x - 6y - 5 = 0 is the equation

sorry , I don't have instruments to plot the gtaph.

------"Amannn:))

Answer 2

Answer:

The equation in two variable will be $x=6y+5$.

Step-by-step explanation:

Linear Equation:- Its and algebraic equation in which each term has an exponent of 1 and when the equation will be represented graphically then it will always form as a straight line. This is the reason why its named as Linear Equation.

Steps of Plotting Linear Equation Graph:-

Step 1:- The given linear equation is $x=6y+5$.

Step 2:- Converting the equation in terms of y, we get $(y=\frac{x-5}{6})$,

Step 3:- Now we will replace the value of x for different numbers to get the values of y to create the coordinates,

Step 4:- Now we will put the value of x as -1 in the equation resulting in $y=\frac{(-1-5)}{6}$, y = -1,

Step 5:- Again if we substitute the value of x = 5, in the equation we get y = 0, x = 11 then y = 1, x = 17 then y = 2, x = 23 then y = 3. Now these pairs of value of (x, y) satisfy the above given equation. Therefore we will list the coordinates down

x = -1, 5, 11, 17, 23

y = -1, 0, 1, 2, 3

Step 6:- Now at the end, we will plot these points (-1,-1), (5,0), (11,1), (17,2), (23,3) on a graph and join the points to get a straight line. This is the graphical representation of the linear equation.