The solution of the system of equation is x = -1 and y=10/3.
The correct option is A.
Given
The given system of equation is;
[tex]\rm x + 3y = 9\\\\3x - 3y = -13[/tex]
A system of linear equations is a collection of two or more linear equations.
From equation 1
[tex]\rm x+3y=9\\\\x=9-3y[/tex]
Substitute the value of x in equation 2
[tex]\rm 3x-3y=-13\\\\3(9-3y)-3y=-13\\\\27-9y-3y=-13\\\\-12y=-13-27\\\\-12y=-40\\\\12y=40\\\\y = \dfrac{40}{12}\\\\y=\dfrac{10}{3}[/tex]
Substitute the value of y in equation 1
[tex]\rm x+3y=9\\\\ x + 3\dfrac{10}{3}=9\\\\x+10=9\\\\x=9-10\\\\x=-1[/tex]
Hence, the solution of the system of equation is x = -1 and y=10/3.
To know more about the system of equations click the link given below.
https://brainly.com/question/12895249
