Question

Graph the following equations and state the solution (if any). y = 1/2x + 5 and y = 5/2x + 1

Answer 1

Set eqhal
1/2x+5=y=5/2x+1
1/2x+5=5/2x+1
minus 1/2x from both sides
5=4/2x+1
5=2x+1
minus 1 both sides
4=2x
divide by 2
2=x
sub back
y=1/2x+5
y=1/2(2)+5
y=1+5
y=6

x=2
y=6
(x,y)
(2,6)
intersection point is (2,6)
graph included below