Question

Find the solution of the following pair of linear equations by the graphical method 2x+y=8
x+y=5

Answer 1

Answer:

x = 3; y = 2

Step-by-step explanation:

After plotting points on the graph paper, we notice that both the lines intersect at point (3,2).

Thus, x is 3, y is 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.

➛2x+y= 8-------(1)

2x+y= 8-------(1)➛x+y= 5---------(2)

Taking first Equation

2x+y= 8

y= 8-2x

At x =0

➛y= 8

At x= 1

➛y= 6

We obtained the coordinates (0,8)&(1,6)

Now,put the coordinates into the graph

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Taking second Equation

x+y= 5

y= 5-x

At x=0

➛y= 5

At x= 1

➛y= 4

Put the coordinates (0,5(&(1,4) into the graph.

After plotting the coordinates of both the Equation we obtained a straight line graph which intersect at the points (3,2)

Hence,the solution for the Given pair of linear equations is x= 3 & y = 2.