solve the equations using determinants 1/x - 1/y+1/z = 4, 2/x + 1/y -3/z = 0, 1/x +1/y +1/z = 2

Question

using system of equations

Answer 1

Given equations are 1/x-1/y+1/z = 4

2/x+1/y-3/z = 0

1/x+1/y+1/z = 2

to solve the equations by Cramers rule.

AX = B

A is coefficients matrix.

B is constant matrix.

X is variable matrix.

Convert the equations in to matrix form.

1/x = 2

1/y = -1

1/z = 1

Solutions are x = 1/2, y = -1, z = 1.