Find the solution of the system of equations 2x – y = 1; x + 2y = 8 by graphical method and find the coordinates of these points where the lines corresponding to these meet the y - axis.
2x - y - 1 = 0
⇒ y = 2x – 1
Now we need to plot this equation on graph, for that we will take some points of x and put in the equation to obtain points of y.
x + 2y = 8
⇒ 2y = 8 - x
Now we need to plot this equation on graph, for that we will take some points of x and put in the equation to obtain points of y.
The point of intersection is (2,3)
The line 2x - y = 1 meets the y - axis at (0, - 1)
The line x + 2y = 8 meets the y - axis at (0,4)
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