Question

Solve the following system of equations graphically.

y = 2x - 3
x + y = 3

What is the solution set?

{(2, 1)}
{(1, 2)}
{(-1, -2)}
{(-2, -1)}

Answer 1

{(2, 1)}

Explanation:

The graph shows the only solution to be the point (2, 1). Hence the solution set will be a set containing one element—that point:

{(2, 1)}

Answer 2

The solution set is:

{(2,1)}

Explanation:

We plot the graphs of the equations:

y = 2x - 3

x + y = 3

The point of intersection of the two curves will be the solution of the above equations.

As we can see from the graph the solution set is:

{(2,1)}