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

2 Answers
Jul 8, 2016

Answer:

The given pair of equations has no solution(s).

Explanation:

If
[1]#color(white)("XXX")y=3x+4#
and
[2]#color(white)("XXX")y-3x=-2#

Substituting (from [1]) #3x+4# in place of #y# into [2]
[3]#color(white)("XXX")cancel(3x)+4-cancel(3x)=-2#

Since #4 != -2#
these equations are inconsistent.

Jul 8, 2016

Answer:

The system has no soln. , or, the Soln. Set #=phi.#

Explanation:

Substituting the value of #y#, obtained from the first eqn., in the second eqn., we get,

#(3x+4)-3x=-2,# i.e., #4 = -2#, which is an impossible result!

Hence, the Soln. Set #=phi.#