What is the solution to the system of equations?

2x - y = 7

y = 2x + 3

0 (2, 3)

(2,7)

no solution

infinite number of solutions

No solution

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.

Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

0 = 10

This is not true and can never be true. Thus, this system has no solution.