Answer
No solution and the solution set is\[\phi \].
Work Step by Step
Substitute\[y=2-3x\]in the equation\[6x+2y=7\], to get:
\[\begin{align}
& 6x+2\left( 2-3x \right)=7 \\
& 6x+4-6x=7 \\
& 4\ne 7
\end{align}\]
Since\[4\ne 7\], it implies the system of the equation does not have a solution. Therefore, the solution set is\[\phi \].
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