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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