Answer:
x = -3
Step-by-step explanation:
[tex]y\geq -\frac{2}{3} x-3\\
y\leq 3x+8[/tex]
[tex]-\frac{2}{3} x-3=3x+8[/tex]
Add 2/3 x to both sides: [tex]-3=\frac{11}{3}x+8[/tex]
Subtract 8 from both sides: [tex]-11=\frac{11}{3}x[/tex]
Multiply both sides by 3: [tex]-33=11x[/tex]
Divide both sides by 11: [tex]x=-3[/tex]
Therefore, point of intersection between both lines is at point (-3, -1)
