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Nat2105 [25]
4 years ago
6

5x+8y=6 -9-2y=14 What does x and y equal?

Mathematics
1 answer:
Iteru [2.4K]4 years ago
7 0

Answer:

(x,y)= 82/5, -17/2

Step-by-step explanation:

Write as a system of equation

5x + 8y = 14

6 - 9 - 2y = 14

solve the equation for y

6 - 9 - 2y = 14

calculate the difference

-3 - 2y = 14

move constant to the right side and change its sign

-2y = 14 + 3

add the numbers

-2y = 17

divide both sides of the equation by -2

y = -17/2

5x + 8y = 14

y = -17/2

substitute the given value of y into the equation 5x + 8y = 14

5x + 8 x (-17/2) =14

solve the equation for x

multiplying a positive and a negative equals a negative

2x -8 x 17/2 = 14

5x - 4 x 17 = 14

multiply the numbers

5x - 68 = 14

move constant to the right side and change its sign

5x = 14 + 68

Add the numbers

5x = 82

divide both sides of the equation by 5

x = 82/5

the possible solution of the system is the ordered pair (x , y)

(x,y) = (82/5, -17/2)

check if the given ordered pair is the solution of the system of equations

5 x 82/5 + 8x (-17/2) = 6 - 9 - 2x (-17/2) = 14

simplify the expression

14 = 14 = 14

since all of the equalities are true, the ordered pair is the solution of the system

(x, y) = (82/5, -17/2

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Answer:

The cost of one unit of electricity is $0.185

Step-by-step explanation:

Amount charged = $120.99

Units of electricity used = 654

The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.

So that,

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Thus for 654 units of electricity used, the cost would be;

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Answer:

Step-by-step explanation:

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