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sesenic [268]
3 years ago
10

What is the solution to this system of equations?

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

Step-by-step explanation:

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Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

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

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;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

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

13p = 35

p = \frac{35}{13}

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

8 0
3 years ago
2. Julio has 1/6 pound of candy. He puts the candy
SashulF [63]

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

5 0
3 years ago
Write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.
tensa zangetsu [6.8K]

Answer:

the cost of the women's haircut is $15 and to shampoo the woman's hair is $5

and the cost of the mens hair cut is $7  and to shampoo the mens hair is $2

15+5=$20 is how much it cost for the women.

7+2=$9 is how much it cost for the men.

Step-by-step explanation:

6 0
2 years ago
A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. InFebruary, your frie
Alecsey [184]

Answer:

"differential selection"

Step-by-step explanation:

If your friend took the test twice and passed both times with a score above 90% then the minor difference in price is most likely due to "differential selection". The first test had  questions that he had a little more experience in solving, while the second time he was most likely given a couple questions that he wasn't as prepared for as he was the first time. This is most likely the cause for the difference in percentiles.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0
3 years ago
Leslie bought an
Evgen [1.6K]

Answer:

$1.00

hopefuly this helped if not let me know!

5 0
2 years ago
Read 2 more answers
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