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Mathematics
Problem
The two equations
k
x
+
m
y
=
10
kx + my = 10
k
x
+
m
y
=
10
,
2
k
x
+
(
m
+
4
)
y
=
20
2kx + (m+4)y = 20
2
k
x
+
(
m
+
4
)
y
=
20
represent the same straight line. Find all possible values of
k
k
k
and
m
m
m
, given that both are non-zero real numbers.
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