show graphically the system of linear equation 2x-3y=5 and 6y-4x=3
Answers
The given equations are :
2 x - 3 y = 5
6 y - 4 x = 3
⇒ - 4 x + 6 y = 3
Procedure :
Take random values of x and y .
Then we plot the coordinates of x and y .
We obtain one line for each equation .
The solution of the given equation is the intersection of both lines .
If the lines do not intersect , this means the lines have no solution .
2 x - 3 y = 5 .
⇒ 2 x = 5 + 3 y
⇒ x = ( 5 + 3 y ) / 2
Table of values
x y
4 1
7 3
1 - 1
6 y - 4 x = 3
⇒ - 4 x = 3 - 6 y
⇒ 4 x = 6 y - 3
⇒ x = ( 6 y - 3 ) / 4
Table of values
x y
0.75 1
2.25 2
- 2.25 - 1
STEPS :
Plot these points in graph .
Then write the scale also .
A sample graph in attachment .
The solution of the equation does not exist as the lines are parallel .
Explanation:
I posted 2 1 and 2nd one is that's continue
