The equations of linear system are
.
Write each equation in slope - intercept form or
, where m is slope and b is y - intercept.
The equation 1:
is already adjusted in slope - intercept form, where
.
Rewrite the equation 2:
in slope - intercept form.
Add 21x to each side.
\


Divide each side by 3.
\
Cancel common terms.
\
.
The slope of
is 7 and its y - intercept is 13.
The two line equations have the same slope and the same y - intercept, so the system has infinitely many solutions.
The linear system has infinitely many solutions.