# Algebra

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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 -

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 -

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 -

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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