Answer:
[tex]x=4,\:x=-2[/tex]
Step-by-step explanation:
Both equations are equal to y, so we can simply set them equal to each other and solve for x:
[tex]x^2-5=2x+3\\\\x^2-8=2x\\\\x^2-2x-8=0\\\\(x-4)(x+2)=0\\\\x=4,\:x=-2[/tex]