Answer:
(24, 10)
Step-by-step explanation:
We are to solve the system
x = 3y - 6
2x - 4y =8
using substitution. Note that the first equation has already been solved for x. Thus, we can substitute 3y - 6 for x in the second equation:
2(3y - 6) - 4y = 8.
Carrying out the indicated multiplication, we get
6y - 12 - 4y = 8.
Combining the y terms, we get
2y = 20, so that y = 10.
Use the first given equation to find x:
x = 3y - 6 becomes x = 3(10) - 6, or x = 24.
Then the solution is (24, 10).
