How do you solve the following linear system: #y = 4x - 13 , y-3x=-2 #?

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Answer 1 · 2015-11-20T15:19:40

#color(green)(x= 11)#

I will let you find the value of y. Follow my proposed action stated at the bottom of my solution!!

Given:

#y=4x-13 ..................................(1)#
#y-3x=-2...............................(2)#

Write (2) as:
#y=3x-2....................................(2_a)#

Using
Equation (1) #=y=# Equation #(2_a)#

#4x-13 =3x -2#

Collecting like terms

#4x-3x=13-2#

#color(green)(x= 11)#

Substitute #x=11# into equation (1) to find the value of #y#

I will let you do that!