How do you solve the system of equations #y= 2x - 5# and #6x - 3x = 18# by substitution?

1 Answer
Jul 9, 2017

#(x.y)to(6,7)#

Explanation:

#y=2x-5to(1)#

#6x-3x=18to(2)#

#"we can solve for x from " (2)#

#rArr3x=18larr" simplifying left side"#

#"divide both sides by 3"#

#(cancel(3) x)/cancel(3)=18/3#

#rArrx=6#

#"substitute x = 6 in " (1)#

#y=(2xx6)-5=12-5#

#rArry=7#

#rArr"point of intersection " =(6,7)#
graph{(y-2x+5)(y-1000x+6000)=0 [-20, 20, -10, 10]}