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Luba_88 [7]
3 years ago
9

Please help me solve each system by elimination?

Mathematics
1 answer:
alexdok [17]3 years ago
7 0
<span>1)
-4x-8y=16
8x+16y=-16

Multiply fhe first equation by 2:

=> -8x - 16y = 32

Add this new equation with previous second equation

0 = 16, which means that the system has no solutions.

2)

4x-10y=-14
3x+8y=-26
</span>
Multiply the first equation by 3 and the second by - 4:

 12x - 30y =   - 42
-12x - 32y =   104

Add the two new equations
-------------------------
0 - 62y = 62

=> y = -1

replacing in the first equation:

=> <span> 4x-10(-1) = -14</span>

=> 4x + 10 = - 14

=> 4x = - 14 - 10

=> 4x = - 24

=> x = - 24 / 4

=> x = - 6

Answer: x = - 6 and y = - 1

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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

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Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

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Which expressions is equivolent to 6[3+2x4] ?
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