Problema Solution
Given the system of equations:
2x – y = –2
x = 14 + 2y
What is the value of the system determinant?
What is the value of the y−determinant?
What is the value of the x−determinant?
What is the solution to the system of equations?
Answer provided by our tutors
2x – y = –2
x = 14 + 2y
can be written as
2x – y = –2
x - 2y = 14
system determinant = 2*(-2) - 1*(-1) = - 4 + 1 = -3
y−determinant = 2*14 - 1*(-2) = 28 + 2 = 30
x−determinant = (-2)*(-2) - 14*(-1) = 4 + 14 = 18
the solution are
y = 30/(-3) = - 10
x = 18/(-3) = -6
the solution of the system of equations are x = -6 and y = -10.