Using substitution, which number from the set {6, 13, 18, 26}

makes the equation 2x+5=31
true?(1 point)
Responses

13
13

6
6

26
26

18

1 answer

To solve the equation \( 2x + 5 = 31 \), we'll first isolate \( x \):

  1. Subtract 5 from both sides: \[ 2x + 5 - 5 = 31 - 5 \] \[ 2x = 26 \]

  2. Divide both sides by 2: \[ x = \frac{26}{2} \] \[ x = 13 \]

Now, we check which number from the set {6, 13, 18, 26} is equal to 13. The only number that matches is:

13