How do you solve the system of equations #y= - 8x + 9# and #y = - 4x + 1#?

1 Answer
Jim G.
Jun 11, 2018

#(x,y)to(2,-7)#

Explanation:

#y=-8x+9to(1)#

#y=-4x+1to(2)#

#"since both equations express y in terms of x equate the"#
#"right sides"#

#-4x+1=-8x+9#

#"add "8x" to both sides"#

#4x+1=9#

#"subtract 1 from both sides"#

#4x=8#

#"divide both sides by 4"#

#x=8/4=2#

#"substitute "x=2" into either equation "(1)" or "(2)#

#(2)toy=-8+1=-7#

#"the point of intersection "=(2,-7)#

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