Pollard Valdez
11/10/2023 · Junior High School
Check to see if the given number is a solution. \( -4 y+12=18-2 y ; y=-3 \) It is a solution. It is not a soution.
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Step-by-step Solution
To check if \( y = -3 \) is a solution to the equation \( -4y + 12 = 18 - 2y \), we can substitute \( y \) with \(-3\) in the equation and see if both sides are equal.
Starting with the left side of the equation:
\[
-4(-3) + 12
\]
Calculating this:
\[
= 12 + 12 = 24
\]
Now, let's evaluate the right side of the equation:
\[
18 - 2(-3)
\]
Calculating this:
\[
= 18 + 6 = 24
\]
Now we compare both sides:
Left side: \( 24 \)
Right side: \( 24 \)
Since both sides are equal, we conclude that:
\[
-4y + 12 = 18 - 2y \text{ is true when } y = -3.
\]
Thus, \( y = -3 \) is indeed a solution to the equation.
The answer is: **It is a solution.**
Quick Answer
It is a solution.
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