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Solve the following system of linear equations. If there is no solution, write DNE.

Solve the following system of linear equations. If there is no solution, write DNE-example-1
User Dmatej
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1 Answer

5 votes

Answer:

x₁ = 179 , x₂ = 17 , x₃ = - 3

Explanation:

x₁ - 9x₂ + 7x₃ = 5 → (1)

x₂ + 7x₃ = - 4 → (2)

x₃ = - 3

substitute x₃ = - 3 into (2) and solve for x₂

x₂ + 7(- 3) = - 4

x₂ - 21 = - 4 ( add 21 to both sides )

x₂ = 17

substitute x₂ = 17 and x₃ = - 3 into (1) and solve for x₁

x₁ - 9(17) + 7(- 3) = 5

x₁ - 153 - 21 = 5

x₁ - 174 = 5 ( add 174 to both sides )

x₁ = 179

solution is x₁ = 179 , x₂ = 17 , x₃ = - 3

User Keshari Nandan
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