Question

System of elimination- how do i find each system of equation of 6c - 9d = 111 and 5c - 9d =103?

Answer 1

As we have a term that is the same in each equation (-9d), we can just subtract one equation from the other:
\(6c-9d=111\)
\(5c-9d=103\)
\((6c-9d)-(5c-9d)=111-103\)
Can you simplify the last equation please?

Answer 2

Actually, you don't "find each system." The two given equations comprise (make up) a system. there's only one system.

You mean "solve the following system of linear equations by elimination."

I agree with Tom (above) -9d appears in both equations, so leave the first equation as is and subtract the second equation from the first. Enclose the 2nd equation in parentheses and then put a - sign in front of the left parenthesis.

Please show your work.

doing this will elilminate d and leave you with the task of finding only c.