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Marina86 [1]
2 years ago
10

4y-x=5+2y; 3x+7y=24 solve systen by using substitution

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
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Step-by-step explanation:

From the question given above, the following data were obtained:

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Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

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Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

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Finally, we shall determine the amount Harry will pay month.

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Step-by-step explanation:

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6 0
3 years ago
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Step-by-step explanation:

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