Let's solve each equation one by one.
Question 1:
Equation: \(2X - 5 = 15\)
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Add 5 to both sides: \[ 2X = 15 + 5 \] \[ 2X = 20 \]
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Divide both sides by 2: \[ X = \frac{20}{2} \] \[ X = 10 \]
Response: 10
Question 2:
Equation: \(-6x + 2 = 20\)
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Subtract 2 from both sides: \[ -6x = 20 - 2 \] \[ -6x = 18 \]
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Divide by -6: \[ x = \frac{18}{-6} \] \[ x = -3 \]
Response: -3
Question 3:
Equation: \(\frac{x}{5} + 10 = 13\)
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Subtract 10 from both sides: \[ \frac{x}{5} = 13 - 10 \] \[ \frac{x}{5} = 3 \]
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Multiply both sides by 5: \[ x = 3 \times 5 \] \[ x = 15 \]
Response: 15
Final Responses:
- 10
- -3
- 15