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ladessa [460]
2 years ago
5

How many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution infinite number of solut

ions.
Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

The system of equations has infinite solutions.

<h2>Given to us,</h2>
  • y=-6x+2
  • -12x-2y=-4

<h3>Equation 2,</h3>

The value of y is already given in equation 1,

-12x-2y=-4

substituting the value of y in equation 2,

-12x-2(-6x+2)=-4\\-12x +12x-4=-4\\-12x+12x=-4+4\\0=0

The solution of the two equations is 0. Also, we can see that both the equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

Learn more about System of solutions:

brainly.com/question/14264175

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Solve simultaneous equation by substitution method<br> y-4x=6<br> 2y-3x=4
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Answer:

Step-by-step explanation:

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y=6+4x, using this value in 2y-3x=4 gives

2(6+4x)-3x=4

12+8x-3x=4

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3 years ago
quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?
Setler [38]

Answer:

The vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

Step-by-step explanation:

<em>Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.</em>

<em />

Let us suppose

  • A(-5, 1)
  • B(-4, 3)
  • C(1, 2)
  • D(-3, 0)

We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:

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Therefore, the vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

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Ellis built a rectangular vegetable garden there is 9' long and has an area of 72 ft²what is the perimeter of the vegetable gard
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