Question

find the solution of the following pair of linear equation by the graphical method 2x+y=5 x+y=4​

Answer 1

Answer:

x = 1

y = 3

2x + y = 2(1) + 3 = 5

x + y = 1 + 3 = 4

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.

➙2x+y= 5------(1)

➙x+y= 4--------(2)

Taking first Equation

2x+y=5

➙y=5-2x

At x=0

➙y= 5

At x=1

➙y=3

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

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

x+y= 4

➙y= 4-x

At x= 0

➙y=4

At x= 1

➙y= 3

Plot the points (0,4)& (1,3) into the graph

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

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