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Simplifying 6x2 + 5y2 = 75 Solving 6x2 + 5y2 = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 6x2 + 5y2 + -5y2 = 75 + -5y2 Combine like terms: 5y2 + -5y2 = 0 6x2 + 0 = 75 + -5y2 6x2 = 75 + -5y2 Divide each side by '6'. x2 = 12.5 + -0.8333333333y2 Simplifying x2 = 12.5 + -0.8333333333y2 Reorder the terms: -12.5 + x2 + 0.8333333333y2 = 12.5 + -0.8333333333y2 + -12.5 + 0.8333333333y2 Reorder the terms: -12.5 + x2 + 0.8333333333y2 = 12.5 + -12.5 + -0.8333333333y2 + 0.8333333333y2 Combine like terms: 12.5 + -12.5 = 0.0 -12.5 + x2 + 0.8333333333y2 = 0.0 + -0.8333333333y2 + 0.8333333333y2 -12.5 + x2 + 0.8333333333y2 = -0.8333333333y2 + 0.8333333333y2 Combine like terms: -0.8333333333y2 + 0.8333333333y2 = 0.0000000000 -12.5 + x2 + 0.8333333333y2 = 0.0000000000 The solution to this equation could not be determined.
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