To find the equation that matches the solution set of {5}, we can solve each equation for x and determine which one has 5 as the sole solution.
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Equation: x + x - 9 = 1 + x Simplifying: \[ 2x - 9 = 1 + x \ 2x - x = 1 + 9 \ x = 10 \] Solution: {10}
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Equation: 2x - 20 = 30 Solving for x: \[ 2x = 30 + 20 \ 2x = 50 \ x = 25 \] Solution: {25}
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Equation: x² - 10 = 15 Rearranging: \[ x^2 = 15 + 10 \ x^2 = 25 \ x = 5 \quad \text{or} \quad x = -5 \] Solution: {5, -5}
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Equation: 3x + 4 = 7 Solving for x: \[ 3x = 7 - 4 \ 3x = 3 \ x = 1 \] Solution: {1}
Thus, the only equation that matches the solution set of {5} is the third one:
x² - 10 = 15
1 answer