To determine which ordered pair \((x,y)\) is a solution to the equation \(3x + 2y = 11\), we can substitute each pair into the equation and see if it satisfies it.
Let's check each option:
A. \((-2, 5)\): \[ 3(-2) + 2(5) = -6 + 10 = 4 \quad (\text{not a solution}) \]
B. \((5, 2)\): \[ 3(5) + 2(2) = 15 + 4 = 19 \quad (\text{not a solution}) \]
C. \((5, -2)\): \[ 3(5) + 2(-2) = 15 - 4 = 11 \quad (\text{is a solution}) \]
D. \((-5, -2)\): \[ 3(-5) + 2(-2) = -15 - 4 = -19 \quad (\text{not a solution}) \]
E. \((-5, 2)\): \[ 3(-5) + 2(2) = -15 + 4 = -11 \quad (\text{not a solution}) \]
The only ordered pair that satisfies the equation \(3x + 2y = 11\) is option C: (5, -2).