Question

To solve simultaneous equation X+2y=3 ; 2x+4y=6 graphically, what type of graph we get ?

Answer 1

only one straight line in the graph

Answer 2

Answer:

x+2y=10(Given)

For x=4

2y=10−4⇒y=3

For y=4

x=2

x 4 2

y 3 4

2x+4y=8(Given)

⇒x+2y=4

For x=2

2y=4−2⇒y=1

For y=3

x=−2

x 2 −2

y 1 3

Since the graph consists of a pair of parallel lines, the system of equations has no solution.

Also, the graph x+2y=10 cuts the x and y-axis at (10,0) and (0,5) respectively, while the graph of 2x+4y=8 cuts the x and y-axis at (4,0) and (0,2) respectively