QUESTION IMAGE
Question
here is a system of equations.
\
$$\begin{cases} y=3+x
\\\\ y=x+3
\\end{cases}$$
graph the system. then write its solution. note that you can also answer
o solution\ or \infinitely many\ solutions.
solution:
Step1: Analyze the equations
The two equations are \( y = 3 + x \) and \( y = x + 3 \). Notice that these are the same linear equation (commutative property of addition, \( 3 + x = x + 3 \)).
Step2: Determine the solution type
For a system of linear equations, if two equations are identical, they represent the same line. A single line has infinitely many points, so the system has infinitely many solutions.
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Infinitely many