Question

solve tha following pair of linear equations by graphical method & find tha nature of that solution 2x - y = 4 ; x + 2y = 10​

Answer 1

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.