Draw the graphs of the equations 3x-2y=4 and x+y-3=0 in the same graph paper. Find the co-ordinates of the point where two lines intersect.
Given : 3x - 2y = 4 , x + y - 3 = 0
To find : draw the graph and find the coordinates of the point where the two graph lines intersect
Solution:
3x - 2y = 4
x + y - 3 = 0
put x = ( 3 - y) in 1st
=> 3(3 - y) - 2y = 4
=> 9 - 5y = 4
=> -5y = -5
=> y = 1
=> x = 2
x 3x-2y = 4 x + y - 3 =0
( 2, 1) is the intersection points
graph attached