Answer:
(2.8, 8.2 )
Explanation:
to find the point of intersection , solve the equations of the lines simultaneously.
y = 4x - 3 → (1)
x + y = 11 → (2)
substitute y = 4x + 3 into (2)
x + 4x - 3 = 11
5x - 3 = 11 ( add 3 to both sides )
5x = 14 ( divide both sides by 5 )
x =
= 2.8
substitute x = 2.8 into (1) and solve for y
y = 4(2.8) - 3 = 11.2 - 3 = 8.2
Point of intersection = (2.8, 8.2 )