Question

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=2y-7 and 4x+y=71 *

Answer 1

The solution is (15, 11) There is only one solution.

Explanation:

Solve this system using substritution. In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99. then y must be 11. If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11) There is only one solution.