Question

Question content area top
Part 1
Solve the system of equations by the elimination method.
negative 6 x minus y
equals
9
10 x plus y
equals
negative 13
Question content area bottom
Part 1
Select the correct choice​ and, if​ necessary, fill in the answer box to complete 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 (-1, -3).

Work: Add the equations to eliminate y:
(-6x - y) + (10x + y) = 9 + (−13) → 4x = −4 → x = −1.
Then 10(−1) + y = −13 → −10 + y = −13 → y = −3.