Answer:
x₁ = -2, x₂ = 1
Step-by-step explanation:
We have the following system of linear equations.
x₁ + 2x₂ = 0
2x₁ + 5x₂ = 1
We will multiply the first equation by 2 and then subtract it from the second equation.
2x₁ + 4x₂ = 0
2x₁ + 5x₂ - (2x₁ + 4x₂) = 1 - 0
2x₁ + 5x₂ - 2x₁ - 4x₂) = 1
x₂ = 1
We can replace this value in the first equation.
x₁ + 2x₂ = 0
x₁ + 2 × 1 = 0
x₁ = -2
