ANSWER
c = 4
d = 1
Step-by-step explanation
We want to solve the system of equations by elimination.
This is a process of eliminating one of the variables to make it easier to solve.
3c + 6d = 18 ____(1)
6c - 2d = 22 ____(2)
First, divide eq (1) by 3:
c + 2d = 6 _____(1)
6c - 2d = 22 ____(2)
Now, add the two equations:
=> 7c + 0 = 28
=> 7c = 28
Divide both sides by 7:
c = 28 / 7
c = 4
Substitute the value of x into eq (1):
4 + 2d = 6
Collect like terms:
2d = 6 - 4
2d = 2
Divide through by 2:
d = 2 / 2
d = 1
The solution to the system of equations is:
c = 4
d = 1