Question

Solve the system by the elimination method.
x
plus
2 y
equals
negative 2
3 x
plus
5 y
equals
negative 7
Question content area bottom
Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The solution is
  
enter your response here. ​(Simplify your answer. Type an ordered​ pair.)
B.
There are infinitely many solutions.
C.
There is no solution.

Answer 1

A. The solution is (-4, 1).

Work: Multiply x + 2y = -2 by -3 to get -3x - 6y = 6. Add to 3x + 5y = -7 to get -y = -1, so y = 1. Then x + 2(1) = -2 → x = -4.