Use Cramers rule to solve the system no credit if Cramers ru

Use Cramer\'s rule to solve the system (no credit if Cramer\'s rule is not used) {2x - y = 10 x + 2y = -9 Solve the system of equations: {2x + 3y + z = -1 3x + 3y + z = 1 2x + 4y + z = 1 - 2 by using matrix inverses, if the inverse of the coefficient matrix is (2 3 1 3 3 1 2 4 1)^-1 = (-1 1 0 -1 0 1 6 -2 -3)

Solution

a) This is a 2 x 2 matrix.

x1 = D1 / D = 11 / 5 = 11/5

x2 = D2 / D = (-28) / 5 = -28/5