Question

What do you know about the solution(s) to the system of equations?


a) There is no solution.


b) The solution is (2, 0).


c) The solution is (0,−1).


d)There are infinitely many solutions.

Answer 1

Answer:

a) There is no solution

Step-by-step explanation:

Answer 2

ANSWER

a) There is no solution

EXPLANATION

The given system has equations,
$y = \frac{1}{2} x + 1$
and

$y = \frac{1}{2} x - 3$
The two lines are parallel because they have the same slope.

The solution to the system of equations is the point of intersection of the two lines.

We can see clearly from the graph that, the two lines will never intersect anywhere.

This means that the system of equations whose graph is represented by the two lines has no solution.