How do you solve the system y = 5x and 2x + 3y = 34?

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Answer 1 · 2016-05-24T15:17:03

The solution for the system of equations is:
#color(green)(x=2#
#color(green)(y = 10 #

#color(blue)(y = 5x#...................equation #(1)#

#2x + 3y = 34#......equation #(2)#

Solving by substitution:

Substituting equation #1# in equation #2:#

#2x + 3y = 34#

#2x + 3 xx color(blue)(5x) = 34#

#2x + 15x = 34#

#17x = 34#

#x = 34/17#

#color(green)(x=2#

Finding #y# from equation #1# using the value of #x:#

#y = 5x#

#y = 5 xx 2 #

#color(green)(y = 10 #