Question

What is the solution of the system?

Use the substitution method.

{y+7=3x6x−2y=12

(14, 12)
(12, 14)
There is no solution.
There are an infinite number of solutions.

Answer 1

There is no solution.

Explanation:

Answer 2

Given

y + 7 = 3x . . . (1)
6x − 2y = 12 . . . (2)

From equation (1), y = 3x - 7 . . . (3)

Putting equation (3) into equation (2) gives:

6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12 (which is not possible)

Therefore, the given system has no solution.