SOLUTION: Please help solve this liner equation using substitution method :a)m+3n=23 m+n=11 b)2a+b=7 3a+2b=12

Question 1030545: Please help solve this liner equation using substitution method :a)m+3n=23
m+n=11
b)2a+b=7
3a+2b=12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this liner equation using substitution method :
a)
m+3n=23
m+n=11
----
m = 23-3n
(23-3n)+n = 11
-2n = -12
n = 6
----
Solve for "m":
m = 23-3n
m = 23-3*6 = 5
-----------------
b)2a+b=7
3a+2b=12
------------
b = 7-2a
3a + 2(7-2a) = 12
3a + 14 - 4a = 12
-a = -2
a = 2
---
Solve for "b"::
b = 7-2a = 3
------------------
Cheers,
Stan H.
---------------
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