Answer:
(2, -6)
Step-by-step explanation:
First you want to set both equations equal to each other so you can find one of the variables.
y = x^2 + 3x -4
for second equation lets rearrange so we start with y=
x=y-4
add 4 to both sides
4+x = y or y= x+4
since both equations equal y, lets set them equal to each other
x+4 = x^2 + 3x -4
set it equal to 0 by subtracting x and 4 from both sides
x^2 + 2x -8 = 0
factor
(x+4) (x-2) = 0
so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.
to double check, plug in x=2 in both equations
y= 2^2 + 3(2) -4 = 4+6 -4 = 6
2 = y -4; y=6
so B is correct.
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