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
Which of the points below are solutions to the following equation? 3x-y=-6 (3,15) (-2,0) (-1,4) (0,6) None of the above
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To determine which of the given points are solutions to the equation \(3x - y = -6\), we need to substitute each point into the equation and see if it satisfies the equation.<br /><br />Let's check each point one by one:<br /><br />1. For the point \((3, 15)\):<br /> \[<br /> 3(3) - 15 = 9 - 15 = -6<br /> \]<br /> This point satisfies the equation.<br /><br />2. For the point \((-2, 0)\):<br /> \[<br /> 3(-2) - 0 = -6 - 0 = -6<br /> \]<br /> This point satisfies the equation.<br /><br />3. For the point \((-1, 4)\):<br /> \[<br /> 3(-1) - 4 = -3 - 4 = -7<br /> \]<br /> This point does not satisfy the equation.<br /><br />4. For the point \((0, 6)\):<br /> \[<br /> 3(0) - 6 = 0 - 6 = -6<br /> \]<br /> This point satisfies the equation.<br /><br />So, the points \((3, 15)\), \((-2, 0)\), and \((0, 6)\) are solutions to the equation \(3x - y = -6\).<br /><br />Therefore, the correct answer is:<br />\[<br />\text{None of the above}<br />\]
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