To find the value of the expression \(2y - 2xy + x\) when \(x = 2\) and \(y = 6\), we can substitute the values of \(x\) and \(y\) into the expression.
Let’s calculate it step by step:
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Substitute \(x = 2\) and \(y = 6\) into the expression: \[ 2y - 2xy + x = 2(6) - 2(2)(6) + 2 \]
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Calculate \(2y\): \[ 2(6) = 12 \]
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Calculate \(2xy\): \[ 2(2)(6) = 24 \]
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Now substitute these values back into the expression: \[ 12 - 24 + 2 \]
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Now perform the subtraction and addition: \[ 12 - 24 = -12 \] \[ -12 + 2 = -10 \]
Therefore, the value of the expression \(2y - 2xy + x\) when \(x = 2\) and \(y = 6\) is \(-10\).