Question

The system of equations 2x + 1 = 0 and 3y − 5 = 0 has ______.

Options

• unique solution

• two solutions

• no solution

• infinite number of solutions

Answer 1

The system of equations 2x + 1 = 0 and 3y − 5 = 0 has unique solution.

Explanation:

2x + 1 = 0

2x = −1

x = `-1/2`

3y − 5 = 0

3y = 5

y = `5/3`

These equations represent two lines: one is a vertical line x = `-1/2` and the other is a horizontal line y = `5/3`.

A vertical line and a horizontal line always intersect at a single point.

That means the system has a unique solution.