Find the c-value of the system of equations?

you have to solve these equations by using inverse matrices.





a-2b+c=7


6a+2b-2c=4


4a+6b+4c=14

Find the c-value of the system of equations?
c = 3:





a - 2b + c = 7


6a + 2b - 2c = 4


*Equals this*


7a - c = 11 (2)








a - 2b + c = 7


4a + 6b + 4c += 14


*Can be changed to this*





3a - 6b + 3c = 21


4a + 6b + 4c = 14


*Equals this*


7a + 7c = 35 (1)








Then take the answers from those two (1) and (2)





(1) 7a + 7c = 35


(2) 7a - c = 11


*Whick equals this*


7a + 7c = 35


-7a + c = -11


*Equals this*


8c = 24





24/8 = 3





c = 3








Hope this helps, because I spent like 20 minutes typing this up.

forsythia