Draw the graphs of lie pair of linear equations 3x + 2y = 5 and 2x–3y = –1. Determine the coordinates of the vertices of the triangle formed by these linear equations and the X-axis.

Question

Philoid · Accepted Answer

Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So, we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.

We get the following tables for the given linear equations.

for

3x + 2y = 5

for, 2x–3y = –1

when y = 0, lines would intersect the x-axis

so the coordinates of triangle at x-axis would be

So the coordinates of the triangle will be