Question

find the following pair of linear equation by graphical method. x+2y=5
x-2y=1​

Answer 1

Answer:

x+2y=5 =x+y =5/-2

x-2y =1 =x-y= 1/2

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

We have given two pair of linear equations and we have to find the value of x and y through graph.

For that firstly convert the Equation either in the form of x or y and then plot points into and obtained the coordinate . Put the coordinate into graph of both the Equation and we obtained a interesting point with the help of coordinate of both the Equation which will be our final solution.

➙x+2y= 5-------(1)

➙x-2y= 1---------(2)

Taking first Equation

x+2y= 5

➙x= 5-2y

At y=0

➙x= 5

At y= 1

➙x= 3

Plot the points (5,0)& (3,1) into the graph

--------------------------------------------------------

Taking second Equation

x-2y=1

➙X= 1+2y

At y=0

➙x= 1

At y= 1

➙x= 1+2=3

plot the points (1,0)& (3,1) into the graph

After plotting the points we obtained a straight line graph which intersect at point (3,1)

Hence,the solution of the given equation is x= 3 & y=1