Greek Chicken Lemon Soup

Ingredients

• 3 tablespoons olive oil
• 3 large carrots, diced
• 2 stalks celery, thinly sliced
• 1 large onion, finely chopped
• 1 cup rice
• salt, to taste
• black pepper, to taste
• 12 cups chicken broth, optionally low-sodium
• 2 chicken breasts, boneless and skinless, cooked and shredded
• 4 tablespoons butter
• 4 tablespoons flour
• 4 eggs
• 1/2 cup lemon juice