How do you solve the system of equations #y=7/2x-5# and #y=-5#?

1 Answer
Jun 7, 2017

#(0,-5)#

Explanation:

#color(red)(y)=7/2x-5to(1)#

#color(red)(y)=-5to(2)#

#"since both equations have y as the subject we can"#
#"equate the right sides"#

#rArr7/2x-5=-5#

#"add 5 to both sides"#

#7/2xcancel(-5)cancel(+5)=-5+5#

#rArr7/2x=0rArrx=0#

#"the point of intersection "=(0,-5)#
graph{(y-7/2x+5)(y-0.001x+5)=0 [-20, 20, -10, 10]}