How do you solve this set of linear system: # \frac { 1} { 2} x - y = 6;x - 2y = 12 #?

Question

598 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-27T14:38:50

There are an infinite set of solutions for this equation.

First, solve the second equation for #x#L

#x - 2y + 2y = 12 + 2y#

#x = 12 + 2y#

Now, substitute #12 + 2y# for #x# in the second equation and solve for #y#:

#1/2(12 + 2y) - y = 6#

#(6 + y) - y = 6#

#6 + y - y 6#

#6 + 0 = 6#

#6 = 6#

There are an infinite set of solutions for this equation.