Question

find the solution of the pair of linear equation by graphical method
x + y = 7
3x - y = 1​

Answer 1

Answer:

X = 2 , Y = 5.

Explanation:

ATP,

         x + y = 7

   +    3x - y = 1

    or, 4x = 8 .

   or ,  x = 8/4

   or ,  x = 2. {Ans}

Therefore , x + y = 7

              or, 2 + y = 7

             or , y = 7 - 2

            or , y = 5 .{Ans}

Process checking :

              3x - y = 1

         or, {3*2} - 5 = 1

        or,  6 - 5 = 1.

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+y=7-------(1)

➙3x-y=1------(2)

Taking first Equation

x+y=7

➙y= 7-x

At x=0

➙y= 7

At x= 1

➙y= 7-1=6

We obtained coordinate (0,7)&(1,6) now,put into graph.

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

Taking Equation 2

3x-y=1

➙y= -1(-3x)

➙y= 3x-1

At x=0

➙y= -1

At x= 1

➙y= 2

Put the coordinate (0,-1)&(1,2) into graph

After plotting the coordinates of both the Equation into graph we obtained a straight line graph which intersect at the points (2,5)

Hence,the solution of the given pair of linear equations is x= 2 & y= 5.