Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not:

Question

Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not: (i) (ii)

Philoid · Accepted Answer

(i) 2x – 3y = 6 passes through (3, 0) and (0, -2)

X + y = 1 passes through (0, 1) and (1, 0)

Thus it has unique solution

(ii) 2y = 4x -6 passes through (3/2, 0) and (0, -3)

2x = y + 3 passes through (3/2, 0) and (0, -3)

The lines are coincident, it has infinite solutions