Question

Solve the following system of equations graphically:
Shade the region between the lines and the y-axis
(i) 3x – 4y = 7
5x + 2y = 3
(ii) 4x – y = 4
3x + 2y = 14

Answer 1

Given:  System  of linear equations:  

(i) 3x – 4y = 7 ……………(1)

5x + 2y = 3 ………..(2)  

Solution :

For eq 1 :  

When x = 1,then y = - 1

When x = - 3 , then y = - 4

3x – 4y = 7 passes through (1, - 1) and (-3, -4)

 

For eq 2 :  

When x = 1 ,then y = - 1

When x = 3 , then y = - 6

5x + 2y = 3  passes through (1, -1) , (3, - 6)

Two lines intersect at a point A (1,-1) and the required shaded region is ABC.

Hence x is 1 and y is - 1.

(ii) 4x – y = 4

3x + 2y = 14

For eq 1 :  

When x = 0,then y = - 4

When x = - 1 , then y = - 8

4x – y = 4 passes through (0, - 4) and (-1, -8)

For eq 2 :  

When x = 0 ,then y = 7

When x = 4 , then y = 1

3x + 2y = 14  passes through (0, 7) , (4, 1)

Two lines intersect at a point A (2,4) and the required shaded region is ABC.

Hence x is 2 and y is 4.

HOPE THIS ANSWER WILL HELP YOU……

 

Some more questions :  

Solve the following systems of equations graphically:

x+y=4

2x-3y=3

https://brainly.in/question/15918174

Answer 2

Answer:

The given system of equations is 3x -4y =7 5x +2y =3

Clearly, the two lines intersect at A(1,-1) Hence,X= 1, y=-1 is the solution of the given system of equations.