The answer should be x=-3
Y=10x-7
Y+7=10x-7+7
Y+7=10x
Y-Y+7=10x-Y
7=10x-Y
10x-y=7
Y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24
x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3
y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)
answer
(3, 15) and (4, 12)
I hope this is what you're looking for. Sorry for my writing, I did it with the mouse lol.