Determine the solution to the following system of linear equations.

5x - 5y = 20

-2x + 2y = - 4

no solution

infinitely many solutions

(5, 1)

(2, - 2)

no solution

Step-by-step explanation:

To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:

... x - y = 4

To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by - 2:

... x - y = 2

These are inconsistent equations, hence have no solution.