Question

Find the solution of the pair of linear equations by graphical method x ×y=7 ,3x-y=1

Answer 1

Answer:

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Step-by-step explanation:

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

2x−3y=9 ----- (2)

From equation (1)

y=7−x ------ (3)

Assume the value of x=5,6 and put those values in equation (3)

If x=5,y=75=2

If x=6,y=7−6=1

On the above basis, the following points are:

X 5 6

Y 2 1

Now plotting (5, 2), (6, 1) and joining them, we get a straight line.

From equation (2),

2x−3y=9

y=

3

2x−9

------ (4)

Assume the value of x=0,6 and put those values in equation (3)

If $$x = 0, y =\frac{2x-9}{3} = \frac{2(0)-9}{3}=\frac{-9}{3} = - 3$$

If x=6,y=

3

2(6)−9

=

3

12−9

=

3

3

=1

Now table the following points:

X 0 6

Y -3 1

Plotting (0, -3), (6, 1) and joining them, we get another straight line.

These lines intersect at the point (6, 1) and therefore the solution of the equation is x=6,y=1

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Answer 2

$\sf\huge\bold{\underline{\underline \green{{Solution}}}} </p><p>$

• 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.