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3 years ago

Solve the system by substitution. − x − y − z = − 8 − 4 x + 4 y + 5 z = 7 2 x + 2 z = 4

Mathematics

1 answer:

LekaFEV [45]3 years ago

7 0

Answer:

The answer to your question is:

x = 3

y = 6

z = - 1

Step-by-step explanation:

- x - y - z = - 8 (I)

- 4x + 4y + 5z = 7 (II)

2x + 2z = 4 (III)

2z = 4 - 2x

z = 2 - x (IIIA)

Substitute IIIA in I

- x - y - (2 - x) = - 8 - x - y - 2 + x = -8 - y - 2 = -8 - y = -8 + 2 y = 6

Substitute IIIA and y in II

- 4x + 4(6) + 5(2 - x) = 7

-4x + 24 + 10 - 5x = 7

-9x = 7 -34

-9x = -27

x = 3

Substitute x in IIIA

z = 2 - 3

z = - 1

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3 years ago

Read 2 more answers

(1.357 X 10^9) + 590,000 =

borishaifa [10]

Answer:

1.35759 x 10 ⁹

Step-by-step explanation:

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3 years ago

The standard form of the number represented by the Roman numeral MXCIV is

Assoli18 [71]

Answer:

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Step-by-step explanation:

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2 years ago

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Fudgin [204]

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2 years ago

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef

WITCHER [35]

$2\frac{3}{10}$ inches of snow is left

Solution:

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

how many inches of snow is left

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left

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3 years ago