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does the system of linear equations shown Below have one solution no solution or many solutions y = 3x - 2y = -2x + 3

User Smendola
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Given the following system of equations:


\begin{cases}y=3x-2 \\ y=-2x+3\end{cases}

if we equate both equations we get:


3x-2=-2x+3

then, if we solve for x, we get the following:


\begin{gathered} 3x-2=-2x+3 \\ \Rightarrow3x+2x=3+2 \\ \Rightarrow5x=5 \\ x=1 \end{gathered}

since we have that x = 1, this means that the system has one solution

User Sarabjit
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