Create a polished 15-second educational animation that visually solves this…

Create a polished 15-second educational animation that visually solves this system of simultaneous equations: 2x + y = 11 , x - y = 1 Do not assume or display any predetermined answer. Solve the equations yourself accurately during the video and let the mathematical reasoning determine the final values of x and y. Visual style: clean, modern educational motion graphics on a dark minimalist background, with crisp white mathematical notation and subtle accent colors. The equations should look professionally typeset, not handwritten. Smooth camera movement, elegant transitions, satisfying mathematical transformations, and clear visual hierarchy. Timeline: 0-2 seconds: The two equations appear one at a time in the center of the screen. Label them subtly as Equation 1 and Equation 2. 2-5 seconds: Visually demonstrate a valid algebraic strategy for solving the system. Rearrange, add, subtract, or substitute equations as appropriate. Animate terms moving across the equals sign, changing signs correctly where required. Every transformation should remain mathematically valid. 5-9 seconds: Continue the calculation step by step. Highlight matching or cancelling terms with subtle visual cues. Show each intermediate equation clearly before transforming it into the next one. Do not skip the key reasoning step. 9-12 seconds: Once one variable has been determined through the calculation, substitute that derived value into one of the original equations. Animate the substitution and simplify the equation step by step to determine the second variable. 12-15 seconds: Reveal the final derived values of x and y prominently. Then perform a very fast visual verification by substituting both derived values into the original equations. If both equations are satisfied, show a small checkmark beside each equation and finish on the solved system. Important requirements: Calculate the solution independently from the equations given. Do not invent intermediate values. Keep every algebraic transformation correct. Never show a solution before it has been derived visually. Keep mathematical notation readable throughout. Use smooth object continuity so equations transform rather than randomly disappearing and reappearing. Prioritize clear mathematical storytelling over decorative effects. No narrator, no people, no unrelated objects. No extra equations beyond those needed for the solution and verification. End with the mathematically derived answer visible on screen.