How do you solve using elimination of #x+y=10# and #x-y=2#?

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Nov 8, 2015

By adding the two equations together you eliminate the #y# variable which allows you to solve #x=6#.
Alternately, subtract one equation form the other eliminating the #x# and allowing #y=4#

Explanation:

Given
[1]#color(white)("XXX")x+y=10#
[2]#color(white)("XXX")x-y=2#

Add [1] and [2]
[3]#color(white)("XXX")2x=12#
#rarr#[4]#color(white)("XXX")x=6#

Subtract [2] from [1]
[5]#color(white)("XXX")2y=8#
#rarr##color(white)("XXX")y=4#