If the system of linear equationsx – 4y + 7z = g 3y – 5z = h– 2x + 5y

Engineering

Mathematics

Solving System of Linear Equation Cramers Rule

Question

If the system of linear equations

x – 4y + 7z = g

3y – 5z = h

– 2x + 5y – 9z = k

has infinite solution then,

2g + h + k = 0

g + h + 2k = 0

g + 2h + k = 0

g + h + k = 0

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P₁ = x – 4y + 7z – g = 0

P₂ = 3x – 5y – h = 0

P₃ = –2x + 5y – 9z – k = 0

Here $∆$ = 0

2P₁ + P₂ +P₃ = 0 when 2g + h + k = 0