We have
x is the number of hour working as a lifeguard
y is the number of hour washing cars
The first inequality is
[tex]x+y\le15[/tex]
we isolate the y
[tex]y\le15-x[/tex]
the second inequality is
[tex]13x+8y\ge160[/tex]
then we isolate the y
[tex]y\ge\frac{160-13x}{8}[/tex]
then we will plot the inequalities
We have as a solution the area where the two areas intercept each other
One solution to these systems of inequalities could be
x=12
y=2
Julian could work 12 hours lifeguarding and 2 hours washing cars
