Question

7. Draw the graphs of the equations 3x – 2y = 4 and x +y-3 = 0.
On the same graph paper, find the coordinates of the point where the
two graph lines intersect.​

Answer 1

Answer:

It is given

3x−2y=4

We can also write it as

2y=3x−4

y=

2

3x−4

Substituting x=2 in the given equation

y=

2

3(2)−4

So we get

y=

2

6−4

y=

2

2

By division

y=1

Substituting x=−2 in the given equation

y=

2

3(−2)−4

So we get

y=

2

−6−4

y=

2

−10

By division

y=−5

x 2 -2

y 1 -5

Now draw a graph using the points A(2,1) and B(-2,-5)

Join the points AB through a line and extend in both the directions

It is given

x+y−3=0

We can also write it as

y=3−x

Substituting x=1 in the given equation

y=3−1 So we get

y=2

Substituting x=−1 in the given equation

y=3−(−1)

So we get

y=4

x 1 -1

y 2 4

Now draw a graph using the points C(1,2) and D(−1,4)

Join the points CD through a line and extend in both the directions.

Therefore the coordinates of the point where the two graph lines intersect is A(2,1)

solution

Answer 2

Answer:

It is given

 3x−2y=4

We can also write it as 

2y=3x−4

y=23x−4

 Substituting x=2 in the given equation 

 y=23(2)−4

 So we get 

 y=26−4

 y=22

 By division

 y=1

 Substituting x=−2 in the given equation 

 y=23(−2)−4

 So we get 

 y=2−6−4

 y=2−10 

 By division 

y=−5

 

x2    -2y    1-5 Now draw a graph using the points A(2,1) and B(-2,-5)

 Join the points AB through a line and extend in both the directions

 It is given

 x+y−3=0

 We can also write it as 

 y=3−x

 Substituting x=1 in the given equation

 y=3−1 So we get 

 y=2

 Substituting x=−1 in the given equation 

 y=3−(−1)

 So we get

 y=4

 x    1   -1y 2    4Now draw a graph using the points C(1,2) and D(−1,4)

 Join the points CD through a line and extend in both the directions.

 Therefore the coordinates of the point where the two graph lines intersect is A(2,1)