How do you solve the system of equations #13x - 5y = 20# and #13x - 5y = 10#?

1 Answer
Dec 7, 2016

Answer:

The system has no solution because its equations are incompatible.

Explanation:

Solve a system like this:

#13 x - 5 y = 20#
#13 x - 5 y = 10#

means we have to find values #x# and #y# that makes true both equations at same time.

In that system we have here, if we try to solve it, for example, using reduction method, we obtain something like that:

#color(white) "....." 13 x - 5 y = 20#
#- (13 x - 5 y = 10)#
#"—————————"#
#color(white) "................." 0 = 10#

i.e. a false identity. This means that no exists any value for #x# and #y# that match both equations at same time, i.e. system is incompatible.