Everytime you post a new image on Instagram, it will be published on Twitter with a preview image and a brief description thanks to InstagramTweet free service. If one of your Twitter followers clicks the image, the Instagram post will be show quickly. Yes: the image is linked to your Instagram content and not just to the image itself! It only works with Instagram image posts. There is a version of this Applet for Instagram video posts. Use both them!
Discover more time saving integrations for Twitter and Instagram