Question

here is a system of equations.
\

$$\begin{cases} y = x + 4 \\\\ y = x + 5 \\end{cases}$$

graph the system. then write its solution. note that you can also answer
o solution\ or \infinitely many\ solutions.
solution:

Explanation:

Step1: Analyze line slopes/intercepts

Both equations are in $y=mx+b$ form:
For $y=x+4$: slope $m=1$, y-intercept $b=4$
For $y=x+5$: slope $m=1$, y-intercept $b=5$

Step2: Check parallelism/solvability

Lines with equal slopes ($m=1$) are parallel. Parallel lines with different y-intercepts never intersect, so no $(x,y)$ satisfies both equations.

Answer:

No solution