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MatroZZZ [7]
3 years ago
10

Skyler needs $56 to buy a new video game if you double the amount of money he has now he will have enough to buy the game eight

dollars left over how much money does Skyler have right now
Mathematics
1 answer:
daser333 [38]3 years ago
4 0
Skyler has 32 dollars right now.
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Kobotan [32]

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Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

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(e)  Now, solve for p in d above

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26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

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<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

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