The given linear system is
Rewrite the equations in slope intercept form .
(Subtract 3x from each side)
(Apply commutative property:
)
(Apply additive inverse property:
) \ \
(Apply additive identity property:
)
(Divide each side by 2)
(Cancel common terms) \ \
(Distribute the common denominator)
(Divide:
)
(Divide each side by 4)
(Cancel common terms)
(Distribute the common denominator)
(Divide:
)
(Divide:
)
Since two slope intercept forms are equal.So, the graphs of the equations are the same line.
\The lines have infinitely many points of intersection.
\The linear system has infinitely many solutions. Any point on the line is a solution.