Linear Algebra Help needed!

Question

https://gyazo.com/b49dd100a62f004e884b8613d2e94b8c

Had to put it as an image as it's a long winded question, but will much appreciate it. Thank you!

Answer 1

Labeling the determinant values for Cramer's rule:

D₁=-200

D₂=-50

D₃=-50

D₄=0

D₅=250

Look for the matrix where [-75 0 -16 36]^T replaces a column, otherwise it's the denominator determinant.

The denominator determinant is D₂

x₁ = D₅/D₂ = 250/-50 = -5

x₂ = D₁/D₂ = -200/-50 = 4

x₃ = D₄/D₂ = 0/-50 = 0

x₄ = D₃/D₂ = -50/-50 = 1

Verify by substituting the x values into the equations.