Which of the points below are solutions to the following equation? 2x+7y=28 (7,3) (2,(17)/(7)) (13,0) (0,4) None of the above.

To determine which of the given points are solutions to the equation \(2x + 7y = 28\), we need to substitute each point into the equation and see if it satisfies the equation.<br /><br />1. For the point \((7, 3)\):<br /> \[<br /> 2(7) + 7(3) = 14 + 21 = 35 \neq 28<br /> \]<br /> So, \((7, 3)\) is not a solution.<br /><br />2. For the point \((2, \frac{17}{7})\):<br /> \[<br /> 2(2) + 7\left(\frac{17}{7}\right) = 4 + 17 = 21 \neq 28<br /> \]<br /> So, \((2, \frac{17}{7})\) is not a solution.<br /><br />3. For the point \((13, 0)\):<br /> \[<br /> 2(13) + 7(0) = 26 + 0 = 26 \neq 28<br /> \]<br /> So, \((13, 0)\) is not a solution.<br /><br />4. For the point \((0, 4)\):<br /> \[<br /> 2(0) + 7(4) = 0 + 28 = 28<br /> \]<br /> So, \((0, 4)\) is a solution.<br /><br />Therefore, the correct answer is:<br />\[<br />(0, 4)<br />\]