nadriangary7
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Which statement best describes the solution to this system of equations? 3x+y=17 X+2y=49
A. It has no solution.
B. It has infinite solutions.
C. It has a single solution: x= 15, y= 17.
D. It has a single solution: X=-3, y= 26.​

Sagot :

KurdishPotato

Answer:

D. It has a single solution: X=-3, y= 26.

Step-by-step explanation:

3x + y = 17

x + 2y = 49 ➡ x = 49 - 2y now write this information in the first equation instead of x

3x + y = 17 ➡ 3(49 - 2y) + y = 17

147 - 6y + y = 17 add like terms

147 - 17 = 5y

130 = 5y divide both sides by 5

26 = y we can calculate the value of x using this information

3x + y = 17 ➡ 3x + 26 = 17 subtract 26 from both sides

3x = -9 divide both sides by 3

x = -3

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.