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Tomtit [17]
3 years ago
5

Find the solution of this system of equations.

Mathematics
1 answer:
vagabundo [1.1K]3 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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Answer with Step-by-step explanation:

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NEED HELP FAST<br> 30nPOINTS FOR BRAINLIEST<br><br><br> √5x + √6 = √9
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\sqrt{5x} + √6 = √9


The first step is to get \sqrt{5x} by itself. We can do this by subtracting \sqrt{6} from each side, and simplifying \sqrt{9}


\sqrt{5x} = 3 - \sqrt{6}


Now we square both sides


5x = (3 - \sqrt{6})²


Using the formula (a - b)² = a² -2ab + b², (3 - \sqrt{6})² = 15 - 6\sqrt{6}


5x = 15 - 6\sqrt{6}


x = \frac{15 - 6\sqrt{6}}{5}

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