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mamaluj [8]
2 years ago
13

PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).

Mathematics
2 answers:
adelina 88 [10]2 years ago
4 0

Solution:

<u>Note that:</u>

  • Given equations: -x + y = 8 and 7x + 3y = -16

<u>Solving the system of equations to find the value of x and y:</u>

  • 7(-x + y = 8)

        7x + 3y = -16

  • -7x + 7y = 56

        7x + 3y = -16

  • 10y = 40
  • => y = 40/10 = 4

<u>Substituting the value of y into any equation to find the value of x:</u>

  • 7x + 3y = -16
  • => 7x + 3(4) = -16
  • => 7x + 12 = -16
  • => 7x = -16 - 12
  • => 7x = -28
  • => x = -28/7 = -4

<u>Putting the values in the form (x,y):</u>

  • (x,y) ⇒ (x = -4,y = 4) ⇒ (-4,4)

Correct option is D.

goblinko [34]2 years ago
3 0

Answer:

  • (4, - 4)

Step-by-step explanation:

<u>Given system:</u>

  • -x + y = 8
  • 7x + 3y = - 16

<u>Multiply the first equation by 7 and add up the equations:</u>

  • -7x + 7y + 7x + 3y = 7*8 - 16
  • 10y = 40
  • y = 4

<u>Find y:</u>

  • -x + 4 = 8
  • -x = 4
  • x = - 4
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\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y =  \dfrac{5}{2}x + 5\bigg) \ is \ correct  }}}

<h3><u>Step-by-step explanation:</u></h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

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\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}

<h3><u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
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---------

x+y=5

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--------

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---------

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