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?
2x - y = -2
x - 2y = 14
system determinant = 2 -1 = 2(-2) - (1) (-1) = -4 + 1 = -3
1 -2
x determinant = -2 -1 = (-2)(-2) - (-1)(14) = 18
14 -2
y determinant = 2 -2 = (2)(14) - (-2)(1) = 30
1 14
Value of x = 18/-3 = -6
Value of y = 30 / -3 = -10
So (x, y) = (-6,-10)
