Answered

What are the classifications of each system?

column B name each number

A.consistent independent

B.coincident

C.inconsistent

Column a

  1. x+5x=-2

x+5y=4

  1. y=3x+4

-2x+y=4

  1. y= -x+3

2x+2y=6

  1. 5x+2y=-4

5x-2y=3

HELP PLZ IVE BEEN STUCK ON THIS FOR LIKE 2 HOURS NOW!PLEASE HELP...:(

Verified Answer :

Panoyin

x + 5x = -2
      6x = -2
       6      6
        x = ⁻¹/₃

    x + 5y = 4
  ⁻¹/₃ + 5y = 4
+ ¹/₃        + ¹/₃
          5y = 4¹/₃
           5      5
            y = ¹³/₁₅
      (x, y) = (⁻¹/₃, ¹³/₁₅)
It is consistent and independent.

y = 3x + 4
-2x + y = 4

        -2x + y = 4
-2x + 3x + 4 = 4
           x + 4 = 4
               - 4  - 4
                 x = 0
y = 3x + 4
y = 3(0) + 4
y = 0 + 4
y = 4
(x, y) = (0, 4)
It is consistent and independent.

y = -x + 3
2x + 2y = 6

             2x + 2y = 6
    2x + 2(-x + 3) = 6
2x + 2(-x) + 2(3) = 6
         2x - 2x + 6 = 6
                        6 = 6
It is consistent and dependent.

5x + 2y = -4
 5x - 2y = 3
      10x = -1
       10    10 
          x = ⁻¹/₁₀

     5x + 2y = -4
5(⁻¹/₁₀) + 2y = -4
      ⁻¹/₂ + 2y = -4
     + ¹/₂         + ¹/₂
              2y = -3¹/₂
               2       2
                y = -1³/₄
          (x, y) = (⁻¹/₁₀, -1³/₄)
It is consistent and independent.

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