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Simplifying 5x2 + 4y2 = 49 Solving 5x2 + 4y2 = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 5x2 + 4y2 + -4y2 = 49 + -4y2 Combine like terms: 4y2 + -4y2 = 0 5x2 + 0 = 49 + -4y2 5x2 = 49 + -4y2 Divide each side by '5'. x2 = 9.8 + -0.8y2 Simplifying x2 = 9.8 + -0.8y2 Reorder the terms: -9.8 + x2 + 0.8y2 = 9.8 + -0.8y2 + -9.8 + 0.8y2 Reorder the terms: -9.8 + x2 + 0.8y2 = 9.8 + -9.8 + -0.8y2 + 0.8y2 Combine like terms: 9.8 + -9.8 = 0.0 -9.8 + x2 + 0.8y2 = 0.0 + -0.8y2 + 0.8y2 -9.8 + x2 + 0.8y2 = -0.8y2 + 0.8y2 Combine like terms: -0.8y2 + 0.8y2 = 0.0 -9.8 + x2 + 0.8y2 = 0.0 The solution to this equation could not be determined.
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