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.
3x + 2y = 12; 5x – 2y = 4

Question

Solve the following pairs of linear equations by graphical method and find the coordinates of the vertices of the triangle formed by lines represented by the triangle formed by lines represented by the pair and the y – axis.
4x – 5y = 20; 3x + 5y = 15

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 4x – 5y = 20

5y = 4x – 20

For 3x + 5y = 15

5y = 3x – 15

The coordinates of the vertices of the triangle formed by lines and the

y – axis are: (0, – 4), (0,3) and (5,0).