Index: src/wp-includes/general-template.php
===================================================================
--- src/wp-includes/general-template.php	(revision 33837)
+++ src/wp-includes/general-template.php	(working copy)
@@ -2306,8 +2306,27 @@
 
 	$args = wp_parse_args( $args, $defaults );
 
-	echo '<link rel="alternate" type="' . feed_content_type() . '" title="' . esc_attr( sprintf( $args['feedtitle'], get_bloginfo('name'), $args['separator'] ) ) . '" href="' . esc_url( get_feed_link() ) . "\" />\n";
-	echo '<link rel="alternate" type="' . feed_content_type() . '" title="' . esc_attr( sprintf( $args['comstitle'], get_bloginfo('name'), $args['separator'] ) ) . '" href="' . esc_url( get_feed_link( 'comments_' . get_default_feed() ) ) . "\" />\n";
+	/**
+	 * Filter whether to display the posts feed link.
+	 *
+	 * @since 4.3.0
+	 *
+	 * @param bool $show Whether to display the posts feed link. Default true.
+	 */
+	if ( apply_filters( 'feed_links_show_posts_feed', true ) ) {
+		echo '<link rel="alternate" type="' . feed_content_type() . '" title="' . esc_attr( sprintf( $args['feedtitle'], get_bloginfo( 'name' ), $args['separator'] ) ) . '" href="' . esc_url( get_feed_link() ) . "\" />\n";
+	}
+
+	/**
+	 * Filter whether to display the comments feed link.
+	 *
+	 * @since 4.3.0
+	 *
+	 * @param bool $show Whether to display the comments feed link. Default true.
+	 */
+	if ( apply_filters( 'feed_links_show_comments_feed', true ) ) {
+		echo '<link rel="alternate" type="' . feed_content_type() . '" title="' . esc_attr( sprintf( $args['comstitle'], get_bloginfo( 'name' ), $args['separator'] ) ) . '" href="' . esc_url( get_feed_link( 'comments_' . get_default_feed() ) ) . "\" />\n";
+	}
 }
 
 /**