jaidynheather
contestada

Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
y = 61 – 2
33 – 7y = 9
-43 + 5y = 1
-5x + y = 10
-25% + 5y = 50
y = 63 - 4

Arrange the systems of equations in order from least to greatest based on the number of solutions for each system y 61 2 33 7y 9 43 5y 1 5x y 10 25 5y 50 y 63 4 class=

Respuesta :

Step-by-step explanation:

The pair of linear equation have

(1) unique solution if a₁/a₂ ≠ b₁/b₂

(2) infinite solution if a₁/a₂ = b₁/b₂ = c₁/c₂

(3) no solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Case (1) 3x-7y= 9 , -4x+5y = 1

or, 3x -7y -9 , -4x + 5y -1

3/-4≠ -7/5 ≠ -9/-1 satisfying a₁/a₂≠b₁/b≠c₁/c₂

∴ it has unique solution

  • case (2) - 5x + y = 10 , -25x+ 5y = 50
  • -5x + y -10, -25x +5y -50

  • -5/-25 = 1/5 = -10/-50

1/5 = 1/5 = 1/5 satisfying a₁/a₂ = b₁/b₂ = c₁/c₂

since it has infinite solution

  • case (3) y = 6x-2 , y = 6x-4
  • or, y-6x+2 , y - 6x +4

  • 1/1 = -6/-6 ≠ 2/4

1/1 = 1/1 ≠ 1/2 Satisfying a₁/a₂ = b₁/b₂ ≠ c₁ /c₂

since it has no solution .

So we have to arrange in order from least to greatest

so , case 3 < 1 < 2 Answer

Otras preguntas