Solve the system of equations by determinants for x only 3x

Solve the system of equations by determinants for x only: 3x + 4y + 6z = -7 6x - 10y + 3z = -2 5x - 13y - 2z = 0

Solution

cramer\'s rule

Your matrix

Write down the main matrix and find its determinant

D = 117

Replace the 1st column of the main matrix with the solution vector and find its determinant

D1 = -273

Solution :x = D1 / D = (-273) / 117 = -7/3

x = -7/3

	X1	X2	X3	b
1	3	4	6	-7
2	6	-10	3	-2
3	5	-13	-2	0