Solve the system of equations given below.

Answer:
The system of this equation is ( -1, 10) which is Option A.
Step-by-step explanation:
Solve for y in the first equation.
[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]
Replace all occurrences of yy with -5x+5 in each equation.
[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]
Solve for x in the first equation.
[tex]x = - 1 \\ y = - 5x + 5[/tex]
Replace all occurrences of x with -1 in each equation.
[tex]y = 10 \\ x = - 1[/tex]
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−1, 10)
Hence, the system of this equation is (-1, 10).
Option A.