Question

Which equation shows how you can check to see if m = 3.5 is a solution to the equation -2m + 15 = -4m + 23

Answer 1

To check if \( m = 3.5 \) is a solution to the equation \( -2m + 15 = -4m + 23 \), you can substitute \( m \) with \( 3.5 \) in both sides of the equation and see if both sides are equal.

Starting with the original equation:

\[
-2m + 15 = -4m + 23
\]

Substituting \( m = 3.5 \):

**Left Side:**

\[
-2(3.5) + 15
\]
\[
= -7 + 15
\]
\[
= 8
\]

**Right Side:**

\[
-4(3.5) + 23
\]
\[
= -14 + 23
\]
\[
= 9
\]

Now you can check if both sides are equal:

\[
8 \neq 9
\]

Since the left side is not equal to the right side, \( m = 3.5 \) is not a solution to the equation \( -2m + 15 = -4m + 23 \).

Thus, the equation you can use to check the solution is:
\[
-2(3.5) + 15 \stackrel{?}{=} -4(3.5) + 23
\]