# R script to solve this system of linear equations:
#   5x - 2y = 2
#   2x - 7y = -3
# We will solve the matrix equation Av = c for v.
# Note that the operator %*% is used for matrix multiplcation.

A = matrix(c(5, -2, 2, -7), 2, 2, byrow=TRUE)
c = matrix(c(2, -3), 2, 1, byrow=TRUE)
v = solve(A) %*% c

cat("The output vector v:\n")
print(v)

# Output:
          [,1]
[1,] 0.6451613
[2,] 0.6129032