Question

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)

Answer 1

a

Explanation:

Answer 2

no solution

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.