To check whether the point (2, 5) is a solution to the equation \( y = 2x + 3 \), we need to substitute \( x = 2 \) and \( y = 5 \) into the equation and see if both sides of the equation are equal.
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Start with the equation: \[ y = 2x + 3 \]
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Substitute \( x = 2 \) into the equation: \[ y = 2(2) + 3 \] \[ y = 4 + 3 \] \[ y = 7 \]
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Now, we compare the calculated value of \( y \) with the given \( y \)-value:
- You provided \( y = 5 \), but our calculation gives \( y = 7 \).
Since \( 5 \neq 7 \), the point \( (2, 5) \) is not a solution to the equation \( y = 2x + 3 \).
To verify, the correct substitution would show that for \( x = 2 \), \( y \) should equal 7, not 5. Thus, your claim is incorrect.