Hello from MrBillDoesMath!
Answer:
Choice B. which is (3,-2)
Discussion:
Let's solve the simultaneous equations:
y = -2x + 4 (*)
y = x - 5 (**)
Substitute the value of y from (**) into (*):
y = -2x + 4 => y = x - 5
x-5 = -2x + 4 => add 2x to both sides
x + 2x -5 = 4 => add 5 to both sides
3x = 4 + 5 => simplify
3x = 9 => divide both sides by 3
x = 9/3 = 3
From (**) y = x - 5 = 3 -5 = -2. So the point of intersection is
(x,y) = (3,-2)
which is Choice B.
Thank you,
MrB
