Question

Solve the given system of equations using Cramer’s Rule.

x + 3y + 3z = 5
3x + y – 3z = 4
-3x + 4y + 7z = -7​

Answer 1

Solution

Given equations are 3x+4y+5z=18,2x−y+8z=13,5x−2y+7z=20

D=∣∣∣∣∣∣∣∣3254−1−2587∣∣∣∣∣∣∣∣=3(−7+16)−4(14−40)+5(−4+5)

=3(9)−4(−26)+5(1)=27+104+5=136

D1=∣∣∣∣∣∣∣∣1813204−1−

Answer 2

Answer:

D = 142

x = D1/D = 19/142

y = D2/D = - 64/ 71

z = D3/D = 79/ 142