Question

Write four solution for each of the following equation:
$\pi $x + y = 9

Answer 1

Hint: In this question remember to substitute the 4 random numbers value of x for four solutions of the given equation and calculate the value of y, using these instructions will help you to approach the solution of the question.

Complete step-by-step answer:
According to the given equation we have a linear equation $\pi $x + y = 9
Let consider $\pi $x + y = 9 as equation 1
To find the four solutions for the given equation let consider the values of x = 1 for first solution of equation i.e. $\pi $x + y = 9
Substituting the value of x in equation 1 we get
$\pi $(1) + y = 9
$ \Rightarrow $$\pi $ + y = 9
$ \Rightarrow $ y = 9 – $\pi $
So for x = 1 solution of the given equation is (1, 9 –$\pi $)
Now taking x = 2 for 2^nd solution of the given equation i.e. $\pi $x + y = 9
Substituting the value of x in the equation 1 we get
$\pi $(2) + y = 9
$ \Rightarrow $2$\pi $ + y = 9
$ \Rightarrow $y = 9 – 2$\pi $
So for x = 2 solution of the given equation is (2, 9 – 2$\pi $)
Now taking x = 3 for 3^rd solution of the given equation i.e. $\pi $x + y = 9
Substituting the value of x in equation 1 we get
$\pi $(3) + y = 9
$ \Rightarrow $3$\pi $ + y = 9
$ \Rightarrow $y = 9 – 3$\pi $
So for x = 3 solution of the given equation is (3, 9 – 3$\pi $)
Taking x = 4 for 4^th solution of the given equation i.e. $\pi $x + y = 9
Substituting the value of x in equation 1 we get
$\pi $(4) + y = 9
$ \Rightarrow $$\pi $(4) + y = 9
$ \Rightarrow $4$\pi $ + y = 9
$ \Rightarrow $y = 9 – 4$\pi $
So for x = 4 the solution of the given equation is (4, 9 – 4$\pi $)
Therefore the 4 solutions of the given equation are (1, 9 –$\pi $), (2, 9 – 2$\pi $), (3, 9 – 3$\pi $) and (4, 9 – 4$\pi $)

Note: In the above question was based on the concept of linear equation in two variable which can be explained as the equation which contains two variable the general representation of linear equation in two variable is given as ax + by + c = 0 here a, b and c are the integers and x and y are the two variables in the equation which means that its value is unknown, these equations have more than one solution there are more types of equations such as linear equation of one variables which have only one dissimilarities than linear equation in two variable that are linear equations with one variables consist of one variable and it consists of only one solution.