Identify the pair of linear equations that have the same solution set. (1 point)

• 2(39 + 5) - 29 = 2(4 - g) and
= 2
• 3(m + 1) = 10 and 6n + 3 = 6 - n

04=合+5and
4J-14
+ 5 = 3

• 4k - 5 = 2k and 8j - 2 = 3j

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine which pair of linear equations has the same solution set, we can rearrange each pair and analyze them.

  1. First pair:

    • \( 2(39 + 5) - 29 = 2(4 - g) \)
    • Simplifying: \[ 2(44) - 29 = 2(4 - g) \] \[ 88 - 29 = 8 - 2g \] \[ 59 = 8 - 2g \] Rearranging gives: \[ 2g = 8 - 59 \Rightarrow 2g = -51 \Rightarrow g = -\frac{51}{2} \]
  2. Second pair:

    • \( 3(m + 1) = 10 \)

    • Simplifying: \[ 3m + 3 = 10 \Rightarrow 3m = 7 \Rightarrow m = \frac{7}{3} \]

    • \( 6n + 3 = 6 - n \)

    • Rearranging: \[ 6n + n = 6 - 3 \Rightarrow 7n = 3 \Rightarrow n = \frac{3}{7} \]

    • The values \( m \) and \( n \) are different, so not the same solution set.

  3. Third pair:

    • \( 04 = k + 5 \)

    • Rearranging gives: \[ k = -1 \]

    • \( 4j - 14 + 5 = 3 \)

    • Simplifying gives: \[ 4j - 9 = 3 \Rightarrow 4j = 12 \Rightarrow j = 3 \]

    • The values \( k \) and \( j \) are different, so not the same solution set.

  4. Fourth pair:

    • \( 4k - 5 = 2k \)

    • Rearranging gives: \[ 4k - 2k = 5 \Rightarrow 2k = 5 \Rightarrow k = \frac{5}{2} \]

    • \( 8j - 2 = 3j \)

    • Rearranging gives: \[ 8j - 3j = 2 \Rightarrow 5j = 2 \Rightarrow j = \frac{2}{5} \]

    • The values \( k \) and \( j \) are different, not the same solution set.


After analyzing all the pairs, it seems none of the pairs share the same solution. Please double-check the equations provided or check if there might be some errors in typing if an option is expected to have the same solution.