Question

Solve by graphical method 2x+y+1=0;7-x/3=y........

Answer 1

Answer:

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

Explanation:

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Answer 2

Explanation:

Given equation,

2x + y + 1 = 0

2x = -1 -y

x = (-1 - y ) /2 ..........1st

Now,

put value of y = {1 , 2, 3,4}......in1st

you will get , value of x

than,

7 - x /3= y ......2nd

let,

x= { 1, 2, 3, 4}

put value on x in equation 2nd

than,

you will find value of y

After that ,

plot the value in the graph, and the point which intersect each other is the value of equation