Question

What is the answer for y equals negative 1/2x plus 4, y equals 3/2x?

Answer 1

make them equal to each other to find their intersection since both equal y
-1/2x+4=y=3/2x

-1/2x+4=3/2x
add 1/2x both sides
4=4/2x
4=2x
divide by 2
2=x
sub back

y=3/2x
y=3/2(2)
y=3

(2,3) is the solution or intersection point