Question
3x+2y=8; Is C(2,−2) a solution to the given equation?
Answers
Answered by
GPT-4o mini
To determine if the point \( C(2, -2) \) is a solution to the equation \( 3x + 2y = 8 \), we can substitute the coordinates of point \( C \) into the equation.
Given:
- \( x = 2 \)
- \( y = -2 \)
Substituting these values into the equation:
\[
3(2) + 2(-2) = 8
\]
Calculating the left side:
\[
6 - 4 = 8
\]
\[
2 = 8
\]
Since \( 2 \) is not equal to \( 8 \), the point \( C(2, -2) \) is not a solution to the equation \( 3x + 2y = 8 \).
Given:
- \( x = 2 \)
- \( y = -2 \)
Substituting these values into the equation:
\[
3(2) + 2(-2) = 8
\]
Calculating the left side:
\[
6 - 4 = 8
\]
\[
2 = 8
\]
Since \( 2 \) is not equal to \( 8 \), the point \( C(2, -2) \) is not a solution to the equation \( 3x + 2y = 8 \).
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