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

Question

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

6
6

13
13

26
26

18

Answer 1

To determine which number from the set {6, 13, 18, 26} makes the equation \( 2x + 5 = 31 \) true, we first need to solve the equation for \( x \).

Starting with the equation:

\[ 2x + 5 = 31 \]

1. Subtract 5 from both sides:

\[ 2x = 31 - 5 \] \[ 2x = 26 \]

2. Divide both sides by 2:

\[ x = \frac{26}{2} \] \[ x = 13 \]

Now we check if 13 is in the set {6, 13, 18, 26}. Since it is, the number that makes the equation true is:

\[ \boxed{13} \]