Solve the following pairs of linear equations by graphical method and also find the coordinates of these points where the lines represented by these intersect the y – axis.
2x – 5y + 4 = 0; 2x + y – 8 = 0

Question

Philoid · Accepted Answer

To plot the given pair of linear equations, we substitute x = 0 or y = 0

in the given linear equations to get x and y. To find more points on the

lines, take different values of x related to it and we get different values

for y from the equation.

We get the following tables for the given linear equations.

For 2x – 5y + 4 = 0

5y = 2x + 4

For 2x + y – 8 = 0

y = 8 – 2x

The coordinates of the points where the lines intersect the y – axis are: (0,0.8) and (0,8).

Solve the following pairs of linear equations by graphical method and also find the coordinates of these points where the lines represented by these intersect the y – axis.2x – 5y + 4 = 0; 2x + y – 8 = 0