To find the equation that matches the solution set of {5}, we need to solve each equation and see which one has 5 as its solution.
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3x/5 + 4 = 7 \[ 3x/5 + 4 = 7 \] Subtract 4 from both sides: \[ 3x/5 = 3 \] Multiply both sides by 5: \[ 3x = 15 \] Divide both sides by 3: \[ x = 5 \]
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x + x - 9 = 1 + x \[ 2x - 9 = 1 + x \] Subtract x from both sides: \[ x - 9 = 1 \] Add 9 to both sides: \[ x = 10 \]
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2x - 20 = 30 \[ 2x - 20 = 30 \] Add 20 to both sides: \[ 2x = 50 \] Divide both sides by 2: \[ x = 25 \]
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x^2 - 10 = 15 \[ x^2 - 10 = 15 \] Add 10 to both sides: \[ x^2 = 25 \] Take the square root of both sides: \[ x = 5 \quad \text{or} \quad x = -5 \]
From the calculations, the first equation \(3x/5 + 4 = 7\) has the solution \(x = 5\), and the fourth equation \(x^2 - 10 = 15\) also has \(x = 5\) (along with \(x = -5\)).
Therefore, the equations that match the solution set of {5} are:
- 3x/5 + 4 = 7
- x^2 - 10 = 15
However, if we are looking for only one equation that matches specifically {5}, the best choice is:
- 3x/5 + 4 = 7.