Question #0dfc8

1 Answer
Dec 13, 2016

Answer:

#(0,2)#

Explanation:

Normally I wouldn't make a grammatical comment, but it seems important here. The equations are lines that intersect; there is only one solution. The solution is the point where the two lines intersect.

Two equations, two variables. Use Gauss-Jordan Elimination
#-4# #-1# #-2#
#8# #-2# #-4#

#(Row_1) * -1 => Row_1#
#4# #1# #2#
#8# #2# #-4#

#(Row_1) / 4 => Row_1#
#1# #1/4# #1/2#
#8# #-2# #-4#

#(Row_1) * 8 - (Row_2) => (Row_2)#
#1# #1/4# #1/2#
#0# #4# #8#

#( Row_2) / 4 => Row_2#
#1# #1/4# #1/2#
#0# #1# #2#

#y = 2#
Substitute in to either equation to find that #x = 0#.

NOTE: This application could really use some matrix formatting.