Answer
Graph:
Work Step by Step
First put the equations in slope-intercept form:
$5x+4y$$\geq$$20$
Subtract $5x$ form both sides of the inequality to get $4y$$\geq$$-5x+20$
Divide 4 on both sides of the inequality to get $y$$\geq$$\frac{-5}{4}x+5$
$5x+4y$$\leq$$20$
Subtract $5x$ form both sides of the inequality to get $4y$$\leq$$-5x+20$
Divide 4 on both sides of the inequality to get $y$$\leq$$\frac{-5}{4}x+5$
The graphs intersect at the line $y=-$$\frac{5}{4}$$x$$+5$. All points on this line are solutions to this system of inequalities.
