To determine if the point (1, 2) is a solution to the system of inequalities, we need to substitute \( x = 1 \) and \( y = 2 \) into each inequality and check if they hold true.
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First inequality: \[ 19x + y \leq 17 \] Substitute \( x = 1 \) and \( y = 2 \): \[ 19(1) + 2 \leq 17 \ 19 + 2 \leq 17 \ 21 \leq 17 \quad (\text{False}) \]
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Second inequality: \[ 7x + 8y \leq 8 \] Substitute \( x = 1 \) and \( y = 2 \): \[ 7(1) + 8(2) \leq 8 \ 7 + 16 \leq 8 \ 23 \leq 8 \quad (\text{False}) \]
Since neither inequality is satisfied (both are false), the point \( (1, 2) \) is not a solution to the system of inequalities.