Posted by mike on Thursday, December 17, 2009 at 4:09pm.
Can you let me know if this is correct
a+2 3z+1 5m
4k 0 3
+
3a 2z 5m
2k 5 6
=
10 14 80
10 5 9
can you let me know if these answers are right.
a=10
z= 14
m=8
k =10 or is this 5/3

Algebra  MathMate, Thursday, December 17, 2009 at 5:54pm
The first two are not correct.
m=8 is correct, and k=5/3 is correct.
For first row, first column,
A11+B11=C11
a+2 + 3a = 10
solve for a
for the second,
use A12+B12=C12
3z+1 + 2z = 14
solve for z.
z = 3
check: 3(3)+1 + 2(3) = 14 checks.

Algebra  mike, Thursday, December 17, 2009 at 7:12pm
Can you tell me I'm new at this but where for 3z+1+2z=14 Where did the
14 come from. I did finally get two right but still do not know mentally how I even got there.

Algebra  MathMate, Thursday, December 17, 2009 at 10:21pm
It would be easier to see it visually:
a+2 3z+1 5m
4k 0 3
+
3a 2z 5m
2k 5 6
=
10 14 80
10 5 9
So we are working with element located on row 1 and column 2 of each matrix.
Since the matrix equation is A+B=C, so we add the first two highlighted elements together and equate the sum to the third element, giving:
3z+1 + 2z = 14
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