Question

Select the correct answer.

What is the solution to this system of equations?
3x+y=17
x+2y= 49

OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.

Answer 1

one solution: x = -3, y = 26

Explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

-6x - 2y = -34

+ x + 2y = 49

-5x = 15

x = -3

-3 + 2y = 49

2y = 52

y = 26