Question

what is the solution to the system of equations?
2x - y = 7
y = 2x + 3
\bigcirc\\ (2, 3)
\bigcirc\\ (2, 7)
\bigcirc\\ no solution
\bigcirc\\ infinite number of solutions

Explanation:

Step1: Substitute y into first equation

Substitute $y=2x+3$ into $2x-y=7$:
$2x-(2x+3)=7$

Step2: Simplify the equation

Expand and combine like terms:
$2x-2x-3=7$
$-3=7$

Step3: Analyze the result

The simplified statement $-3=7$ is false, meaning there is no pair $(x,y)$ that satisfies both equations.

Answer:

no solution