y=−4

x=−4y+2
x=

y=

1 answer

To find the points of intersection for the equations given, we can substitute \( y = -4 \) into the second equation \( x = -4y + 2 \).

  1. Substitute \( y = -4 \) into the equation for \( x \): \[ x = -4(-4) + 2 \]

  2. Calculate the value: \[ x = 16 + 2 = 18 \]

So, when \( y = -4 \), \( x = 18 \).

Thus, the solution is: \[ \begin{align*} x & = 18 \ y & = -4 \end{align*} \]

Therefore, the point of intersection is \( (18, -4) \).