4C =2A + 2B , 2B = A + 3C How many C's will balance the combination of A and B

Answer 1

4C = 2A + 2B ----> C = (2A+2B)/4
2B = A+3C ------> C = (2B-A)/3

(2A + 2B)/4 = (2B-A)/3
6A + 6B = 8B - 4A
10A = 2B
B = 5A

into C = (2A+2B)/4
C = (2A + 10A)/4
C = 3A

etc

Answer 2

Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c