Answer
False
Work Step by Step
The line
$$4x+3y=8$$
can be rewritten in slope-intercept form as
$$y=-\frac{4}{3}x+\frac{8}{3}$$
so its slope is $-4/3$.
The line
$$4x+y=5$$
can be rewritten in slope-intercept form as
$$y=-4x+5$$
so its slope is $-4$.
The two lines do not have the same slope so they are not parallel.
