Question

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

Explanation:

Step1: Rearrange the first - equation

We have the system of equations:
The first equation $2x - y=7$ can be rewritten as $y = 2x - 7$.
The second equation is $y=2x + 3$.

Step2: Compare the two equations

For two lines $y = m_1x + b_1$ and $y=m_2x + b_2$, here $m_1 = 2$, $b_1=-7$ for the first - rewritten equation and $m_2 = 2$, $b_2 = 3$ for the second equation.
Since the slopes ($m_1=m_2 = 2$) are equal and the y - intercepts ($b_1
eq b_2$, $-7
eq3$) are different, the two lines are parallel.
Parallel lines do not intersect.

Answer:

no solution