Answer
(-3, -11), (1, 5)
Step-by-step explanation
To solve this, we will solve this, we will equate the expressions for y
y = -x² + 2x + 4
4x - y = -1
y = 4x + 1
y = y
4x + 1 = -x² + 2x + 4
x² + 4x - 2x + 1 - 4 = 0
x² + 2x - 3 = 0
x² + 3x - x - 3 = 0
x (x + 3) - 1 (x + 3) = 0
(x + 3) (x - 1) = 0
x + 3 = 0
x = -3
OR
x - 1 = 0
x = 1
y = 4x + 1
If x = -3
y = 4x + 1 = 4(-3) + 1 = -12 + 1 = -11
If x = 1
y = 4x + 1 = 4(1) + 1 = 4 + 1 = 5
(-3, -11) OR (1, 5)
Hope this Helps!!!