How do you solve the system using the elimination method for y=3x+17 and y=-2x-8?

1 Answer
Jun 26, 2015

Answer:

Subtract the second equation from the first eliminating #y#; solve for #x#; then substitute the value for #x# back into one of the original equations to solve for #y#.
#(x,y) = (-5,2)#

Explanation:

[1]#color(white)("XXXX")##y=3x+17#
[2]#color(white)("XXXX")##y=-2x-8#

subtract [2] from [1]
[3]#color(white)("XXXX")##0=5x+25#
[4]#color(white)("XXXX")##x=-5#

substitute #(-5)# for #x# in [1]
[5]#color(white)("XXXX")##y = 3(-5)+17#
[6]#color(white)("XXXX")##y = 2#