Solve the system by transforming the matrix to reduced echelon form:
2x₁ - 3x₂ = 5
-4x₁ + 6x₂ = -10
a) x₁ = -{5}/{2}, x₂ = -{3}/{2}
b) x₁ = {5}/{2}, x₂ = {3}/{2}
c) x₁ = -{5}/{2}, x₂ = {3}/{2}
d) x₁ = {5}/{2}, x₂ = -{3}/{2}