The solution of the given system of equations is equal to [tex](5,3)[/tex].
" System of equation is defined as the finite set of equations for which we find a common solution."
According to the question,
Given system of equations,
[tex]y = 6x-27[/tex] _______[tex](1)[/tex]
[tex]y= 4x - 17[/tex] _______[tex](2)[/tex]
Substitute the value of y form [tex](2)[/tex] in [tex](1)[/tex] to get the solution set of given system of equation,
[tex]4x-17 = 6x-27\\\\\implies 6x-4x= 27-17\\\\\implies 2x = 10\\\\\implies x = 5[/tex]
Substitute the value of [tex]'x'[/tex] in [tex](1)[/tex] to get the value of [tex]'y'[/tex],
[tex]y = 6(5)-27[/tex]
[tex]=30 -27\\\\= 3[/tex]
[tex](x, y) = (5,3)[/tex]
Hence, Option(C) is the correct answer.
Learn more about system of equation here
https://brainly.com/question/12895249
#SPJ2
