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x = 9

–4x − 4y = 4
(__,__)

1 answer

To solve for \(y\) using the equation \(-4x - 4y = 4\) with \(x = 9\), we can substitute \(x\) into the equation.

  1. Substitute \(x\) into the equation: \[ -4(9) - 4y = 4 \]

  2. Simplify: \[ -36 - 4y = 4 \]

  3. Add 36 to both sides: \[ -4y = 4 + 36 \] \[ -4y = 40 \]

  4. Divide by -4: \[ y = \frac{40}{-4} = -10 \]

Now we have the values for \(x\) and \(y\): \[ (x, y) = (9, -10) \]

The solution is: \[ (9, -10) \]