Question: Find the value for \( y \) if \( x = -2 \) \[ 3x + 4y + 22 = 0 \]

Find the value for \( y \) if \( x = -2 \)

\[ 3x + 4y + 22 = 0 \]

Solution

To find the value of \( y \) when \( x = -2 \), substitute \( x = -2 \) into the equation. The equation given is: \[ 3x + 4y + 22 = 0 \] Substitute \( x = -2 \) into the equation: \[ 3(-2) + 4y + 22 = 0 \] Calculate \( 3(-2) \): \[ -6 + 4y + 22 = 0 \] Combine the constants: \[ 4y + 16 = 0 \] Subtract 16 from both sides: \[ 4y = -16 \] Divide both sides by 4: \[ y = -4 \] The value of \( y \) is \(-4\).