2 years ago

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Mathematics

1 answer:

Ne4ueva [31]2 years ago

5 0

I believe it is the first one sorry if I am wrong

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i think the best answer for this question is A)

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Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5

VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

Step-by-step explanation:

The given equations are

$2x-5y=14$ .... (1)

$x+\frac{3}{2}y=5$ .... (2)

Multiply the equation (2) by 2.

$2x+3y=10$ .... (3)

Subtract equation (1) from equation (3).

$2x+3y-(2x-5y)=10-14$

$2x+3y-2x+5y=-4$

$8y=-4$

$y=-\frac{1}{2}=-0.5$

Put this value in equation (1).

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$2x+2.5=14$

$2x=11.5$

$x=5.75$

Therefore the required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

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Let $x$ be the number of boxes the team brings with them. Their weight combined with the boxes can't exceed the capacity of 1400. Assuming the elevator runs fine at that exact weight, you want to find the number of boxes, each of which contributes 40 pounds. This is given by the equation

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Solving for $x$ , you have

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So the team can bring *at most* 5 boxes at a time.

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