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3 years ago

ALGEBRA 2 Solve this system of equations for z, or put no solution or infinitely many.

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

Answer:

(x, y, z) = (4, -3, 2)

Step-by-step explanation:

I. -2x + y + 6z = 1

II. 3x + 2y + 5z = 16

III. 7x + 3y - 4z = 11

use I and II. cancel out a variable

-2(-2x + y + 6z = 1)

3x + 2y + 5z = 16

+ (4x - 2y - 12z = -2)

------------------------

IV. 7x - 7z = 14

use I and III. cancel out the same variable (y)

-3(-2x + y + 6z = 1)

7x + 3y - 4z = 11

+ (6x - 3y - 18z = -3)

------------------------

V. 13x - 22z = 8

use IV and V. cancel out a variable

13(7x - 7z = 14)

-7(13x - 22z = 8)

91x - 91z = 182

+(-91x + 154z = -56)

-------------------------

63z = 126

divide by 63

z = 2

plug z into IV

7x - 7z = 14

7x - 7(2) = 14

7x - 14 = 14

7x = 28

x = 4

plug x and z into I

-2x + y + 6z = 1

-2(4) + y + 6(2) = 1

-8 + y + 12 = 1

y + 4 = 1

y = -3

(x, y, z) = (4, -3, 2)

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3 years ago

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4 years ago

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment

oksano4ka [1.4K]

Here is the complete question.

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a) What is the total of minimum payments?

b) What is the total sum of the finance charges?

c) How much does the starting balance decrease after these three payments?

d)The total of your finance charges is what percent of our total payments?

Answer:

Step-by-step explanation:

Month Beginning Finance New Minimum

Balance Charge Balance Payment

1 $ 1200 24.99 1224.99 36.75

2 1188.24 24.75 1212.99 36.39

3 1176.60 24.50 1201.10 36.03

4 1165.07 24.26 1189.33 35.68

The total minimum payments for 3 months = 36.75 + 36.39 + 36.03

The total minimum payments for 3 months = $ 109.17

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Total finance charges for 3 months = $ 74.24

c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93

d. The total of finance charges = 74.24×(100/109.17)

The total of finance charges = 68% of total payments.

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3 years ago

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Allushta [10]

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