Question

find the solution of the pair of linear equation by graphical method 2x + y is equal to 8 x + y is equal to 5​

Answer 1

Solution:

2x + 5y = 12

We have,

x + y = 3

When y = 0 we have x = 3

When x = 0 we have y = 3

Thus we have the following table giving points on the line x + y = 3

X 0 3

Y 3 0

Now, 2 + 5y = 12

When x = 1, we have

Thus we have the following table giving points on the line 2x + 5y = 12

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)

➙x+y=5------(2)

Taking first Equation

2x+y=8

➙y= 8-2x

At x=0

➙y= 8

At x=1

➙y= 6

plot the coordinate (0,8)& (1,6) into graph

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

Taking second Equation

x+y=5

➙y=5-x

At x=0

➙y= 5

At x=1

➙y= 5-1=4

Plot the coordinate (0,5)& (1,4) into the graph

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

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