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4 years ago

5x + 2y=7 - 2x + 6y=9

Mathematics

1 answer:

ollegr [7]4 years ago

6 0

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$

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Answer:

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Step-by-step explanation:

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⇒ 50 x + 550 y ≥ 5,000

Hence, the given system of equation is:

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Solving the given system:

put y = 20 - x from (1) in the equation (2), we get

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or, -500x = -6000

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So, number of tables sold at maximum = 8

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Answer:

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The other thing to remember is that a fractional exponent is the same as a root of that base. So raising a number to the power of 1/3 just means we want the cube root of that number.

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