HELP ASAP I GIVE 60 points total and big brain!!!! Solve the system of equations by substitution. If there is one solution, express it as an ordered pair. If there is no solution, write no solution. If there is an infinite number of solutions, write infinite number of solutions.



x−y=−5x
x−y=1/3

Respuesta :

Solution:

Given:

  • x - y = -5x
  • x - y = 1/3

Substitute the value of "x - y" into equation 1.

  • x - y = -5x
  • 1/3 = -5x

Divide -5 both sides.

  • 1/3 ÷ -5 = -5x/-5
  • 1/3 x 1/-5 = x
  • x = 1/-15 = -1/15

Substitute the value of x into equation 2.

  • x - y = 1/3
  • -1/15 - y = 1/3
  • -1/15 - y = 5/15
  • -y = 5/15 + 1/15
  • y = -6/15 = -2/5

Putting the solutions in (x,y) form.

  • ⇒ (x,y) ⇒ (-1/15, -2/5)