Elastography is a state-of-the-art imaging method that measures tissue stiffness, improving the diagnostic potential of conventional imaging modalities. The two most used elastography methods are Magnetic Resonance Elastography (MR Elastography) and Ultrasound Elastography (US Elastography). US Elastography uses the principles of ultrasonography to assess the mechanical characteristics of tissues, providing cost-effective, real-time imaging with great spatial resolution. It works especially well for characterising thyroid nodules, musculoskeletal conditions, and liver fibrosis stages. Both techniques offer trustworthy, non-invasive substitutes for biopsies, which has revolutionary implications for clinical diagnosis. New developments in elastography technology keep increasing their usefulness, with uses in neurology, cardiology, and oncology. This abstract emphasises the expanding relevance of US and MR Elastography in precision medicine by highlighting their concepts, clinical applications, and comparative strengths.