Solve the system of equations using substitution x = 3y - 6

2x - 4y = 8

(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).