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Which equation has the solution x, equals, 5x=5?

Answer
Multiple Choice Answers
4, x, plus, 9, equals, 294x+9=29
8, x, minus, 4, equals, 488x−4=48
5, x, plus, 7, equals, 825x+7=82
4, x, plus, 6, equals, minus, 264x+6=−26

1 answer

To determine which equation has the solution \( x = 5 \), we can substitute \( x = 5 \) into each option and check if the equations hold true.

  1. Option 1: \( 4x + 9 = 29 \) \[ 4(5) + 9 = 20 + 9 = 29 \quad \text{(True)} \]

  2. Option 2: \( 8x - 4 = 48 \) \[ 8(5) - 4 = 40 - 4 = 36 \quad \text{(False)} \]

  3. Option 3: \( 5x + 7 = 82 \) \[ 5(5) + 7 = 25 + 7 = 32 \quad \text{(False)} \]

  4. Option 4: \( 4x + 6 = -26 \) \[ 4(5) + 6 = 20 + 6 = 26 \quad \text{(False)} \]

The only equation that holds true when \( x = 5 \) is:

Answer: \( 4x + 9 = 29 \)