Answer: option c is the correct answer.
Step-by-step explanation:
The given system of equations is expressed as
5x + 2y = - 38 - - - - - - - - - - -1
6x + 10y = - 19 - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 6 and equation 2 by 5. It becomes
30x + 12y = - 228
30x + 50y = - 95
Subtracting, it becomes
- 38y = - 133
Dividing the left hand side and the right hand side of the equation by - 38, it becomes
y = - 133/-38 = 3.5
Substituting y = 3.5 into equation 1, it becomes
5x + 2 × 3.5 = - 38
5x + 7 = - 38
5x = - 38 - 7 = - 45
Dividing the left hand side and the right hand side of the equation by 5, it becomes
x = - 45/5 = - 9
