Check given systems of equations to see if it has a unique solution, infinitely many solutions or no solution. Solve them graphically.
3x + 2y = 6
6x + 4y = 18
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Dear Student,
Answer:Lines are parallel,so does not have any solution.
Solution:
To draw the straight line put different value of x
and find the value of y, buy this way find three
pairs and join them Straight
3x + 2y = 6
put x = 0, you will get y = 3 (0,3)
put x = 1 ,y = 3/2 = 1.5 (1,1.5)
put x= 2, y=0 ( 2,0)
this line shows in graph with Red color.
by the same way find three points of second
line (1,3) ,(2,1.5) and (3,0) and draw them
straight, another line shown with green colour
in the graph. As showing in graph both lines
are Parallel Lines they don't meet each other
at any stage ,so given equations has no
solution.
hope it helps you.
Answer:Lines are parallel,so does not have any solution.
Solution:
To draw the straight line put different value of x
and find the value of y, buy this way find three
pairs and join them Straight
3x + 2y = 6
put x = 0, you will get y = 3 (0,3)
put x = 1 ,y = 3/2 = 1.5 (1,1.5)
put x= 2, y=0 ( 2,0)
this line shows in graph with Red color.
by the same way find three points of second
line (1,3) ,(2,1.5) and (3,0) and draw them
straight, another line shown with green colour
in the graph. As showing in graph both lines
are Parallel Lines they don't meet each other
at any stage ,so given equations has no
solution.
hope it helps you.
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