How do solve the following linear system?: # 2x+6y=5 , 8x+2y=2 #?

1 Answer
Dec 20, 2015

Answer:

#=> x= 13/44# and #y=9/11#

Explanation:

Use the Substitution method to solve this problem.
Consider the first equation.

#2x=5-6y#
#=> 8x= 20-24y# (multiplying LHS and RHS by 4)
Now insert the value of 8x into the second equation to get:
#(20-24y) + 2y=2#
#=> 20-22y=2#
#=> 22y=18#
#=>y=18/22# i.e.#y=9/11#

Now insert the value of y in any of the two given equations.

Inserting it into the second equation, we get
#8x + 18/22=2# ( Since 2y=#18/22#)
#=> 8x= 26/22 #
#=> 4x= 13/11#
#=> x= 13/44#