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Tomtit [17]
4 years ago
5

Find the solution of this system of equations.

Mathematics
1 answer:
vagabundo [1.1K]4 years ago
4 0
I'm going to use the substitution method.

4x + 4y = -16
-8x - 6y = -20

4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
-2x + 24 = -20
- 24 - 24
----------------------------
-2x = 44
------- -------
2 2

x = 22


4(22) + 4y = -16
88 + 4y = -16
- 88 - 88
------------------------
4y = -104
------ ---------
4 4

y = -26



The answer is (22, -26).



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The cost price of the table is $40.

<h3>What is Gain ?</h3>

Gain is the amount gain by selling the product at a higher price than its cost.

Let the cost of the table is $ x

The percentage gain is x%  (as given in the question)

Cost price = ?

It is known that

Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price

Selling price = 56

Cost Price = $ x

Therefore substituting the value

x = (56 - x) * 100 / x

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x² +100x -5600 = 0

Step 2 : Factorizing

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x = $40

Therefore the cost price of the table is $40.

To know more about Gain

brainly.com/question/23385214

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