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dalvyx [7]
3 years ago
10

What are the classifications of each system?

Mathematics
2 answers:
suter [353]3 years ago
5 0
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 inconsistent 
y = 3x + 4-2x + y = 4
        -2x + y = 4-2x + 3x + 4 = 4           x + 4 = 4               - 4  - 4                 x = 0y = 3x + 4y = 3(0) + 4y = 0 + 4y = 4(x, y) = (0, 4)It is consistent and independent.
y = -x + 32x + 2y = 6
             2x + 2y = 6    2x + 2(-x + 3) = 62x + 2(-x) + 2(3) = 6         2x - 2x + 6 = 6                        6 = 6It is consisteent
5x + 2y = -4 5x - 2y = 3      10x = -1       10    10           x = ⁻¹/₁₀
     5x + 2y = -45(⁻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.

sorry if i used your thing but i took the quiz and this is right im sorry but that's wrong :(

xz_007 [3.2K]3 years ago
4 0
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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Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

   12y / 12 = 360 / 12

             y  = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8          = 360/8

x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

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Answer:

Step-by-step explanation:

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this equals to $6.00 for one ticket

this means that Bernie, Chrissy, Dina and Frank have enough money to see the movie

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