Question

here is a system of equations.$\begin{cases} y=x-6 \\ y=x-4 end{cases}$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 $y=x-6$, slope $m=1$, y-intercept $b=-6$. For $y=x-4$, slope $m=1$, y-intercept $b=-4$.

Step2: Check parallelism

Lines with equal slopes ($m=1$) are parallel. Parallel lines never intersect.

Step3: Verify no common solution

Set equations equal: $x-6 = x-4$. Subtract $x$: $-6=-4$, which is false.

Answer:

No solution