To determine if the equation \( y = 2x + 3 \) is true when \( x = 2 \) and \( y = 7 \), we can substitute \( 2 \) for \( x \) in the equation and check if it results in \( y = 7 \).
Start with the equation:
\[ y = 2x + 3 \]
Now, substitute \( x = 2 \):
\[ y = 2(2) + 3 \]
Calculate the right side:
\[ y = 4 + 3 = 7 \]
Since substituting \( x = 2 \) gives us \( y = 7 \), this means that \( (x, y) = (2, 7) \) satisfies the equation \( y = 2x + 3 \).
So yes, when \( x = 2 \) and \( y = 7 \), the equation \( y = 2x + 3 \) is true.