Ask a New Question
Menu

For which equations is 8 the solution? Select the four that apply.NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(4 points)Responses5x=405 x is equal to 40x+4=12x plus 4 is equal to 12c4=2c over 4 is equal to 2x−3=5x minus 3 is equal to 5x+6=2x plus 6 is equal to 2x−2=10x minus 2 is equal to 10x2=16x over 2 is equal to 162x=4

1 answer

To determine which equations have a solution of 8, we can substitute \( x = 8 \) into each equation and check if the equations hold true.

  1. Equation: \( 5x = 40 \)

    • Substitute \( x = 8 \): \[ 5(8) = 40 \implies 40 = 40 \quad \text{(True)} \]

  2. Equation: \( 4x + 4 = 12 \)

    • Substitute \( x = 8 \): \[ 4(8) + 4 = 12 \implies 32 + 4 = 12 \implies 36 \neq 12 \quad \text{(False)} \]

  3. Equation: \( 4 = 2x \)

    • Substitute \( x = 8 \): \[ 4 = 2(8) \implies 4 = 16 \quad \text{(False)} \]

  4. Equation: \( 2x - 3 = 5 \)

    • Substitute \( x = 8 \): \[ 2(8) - 3 = 5 \implies 16 - 3 = 5 \implies 13 \neq 5 \quad \text{(False)} \]

  5. Equation: \( 5x + 6 = 2x + 6 \)

    • Substitute \( x = 8 \): \[ 5(8) + 6 = 2(8) + 6 \implies 40 + 6 = 16 + 6 \implies 46 \neq 22 \quad \text{(False)} \]

  6. Equation: \( 2x - 2 = 10 \)

    • Substitute \( x = 8 \): \[ 2(8) - 2 = 10 \implies 16 - 2 = 10 \implies 14 \neq 10 \quad \text{(False)} \]

  7. Equation: \( x^2 = 16 \)

    • Substitute \( x = 8 \): \[ (8)^2 = 16 \implies 64 \neq 16 \quad \text{(False)} \]

  8. Equation: \( 2x = 4 \)

    • Substitute \( x = 8 \): \[ 2(8) = 4 \implies 16 \neq 4 \quad \text{(False)} \]

Based on the evaluations, the only equation for which \( x = 8 \) is a solution is:

  • \( 5x = 40 \)

The correct answer to the question is:

  • \( 5x = 40 \)

All other equations do not satisfy the condition when \( x = 8 \). Thus, only the first equation is valid.