Answer:
Step-by-step explanation:
m
=
1
;
n
=
−
2
Step-by-step explanation:
Given:
4
m
+
n
=
2
-------------------------------Equation (1)
m
−
4
n
=
9
..........................................Equation (2)
Determine the value of n
Showing every step in the first part to demonstrate method
Consider Equation (2)
Add 4n to both sides
m
−
4
n
+
4
n
=
9
+
4
n
But
4
n
−
4
n
=
0
m
=
9
+
4
n
.....................................(3)
Substitute for m in (1) using (3)
4
m
+
n
=
2
→
4
(
9
+
4
n
)
+
n
=
2
Multiply out the bracket
⇒
36
+
16
n
+
n
=
2
36
+
17
n
=
2
Subtract 36 from both sides
17
n
=
−
34
Divide both sides by 17
n
=
−
34
17
=
−
2
'.........................................................
Determine the value of m
Substitute
n
=
−
2
into (2)
m
−
4
n
=
9
→
m
−
4
(
−
2
)
=
9
m
+
8
=
9
m
=
9
−
8
m
=
1
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check
4
m
+
n
=
2
→
4
(
1
)
+
(
−
2
)
=
2
m
−
4
n
=
9
→
1
−
4
(
−
2
)
=
9