Evaluate the expression when x = -2 and y = -4

-4x + 7y

1 answer

To evaluate the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\), follow these steps:

  1. Substitute the values of \(x\) and \(y\) into the expression: \[ -4(-2) + 7(-4) \]

  2. Calculate \(-4(-2)\): \[ -4 \times -2 = 8 \]

  3. Calculate \(7(-4)\): \[ 7 \times -4 = -28 \]

  4. Now combine the two results: \[ 8 + (-28) = 8 - 28 = -20 \]

Thus, the value of the expression \(-4x + 7y\) when \(x = -2\) and \(y = -4\) is \(\boxed{-20}\).