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valentina_108 [34]
3 years ago
7

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

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

-x - y - z=  -8

-(2-z)-y-z= -8         replace x

-2+z-y-z= -8          (cancel z)

-2-y= -8

6 = y

Then:

-4x + 4y + 5z = 7  replace x and y

-4(2-z)+4*6 + 5z = 7

-8 + 4z + 24 + 5z = 7

16 + 9z = 7

9z = 7 - 16

9z = -9

z = -9/9

z= -1

Finally

x= 2-z  replace z

x = 2- (-1)

x = 3

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Answer:

$150

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Let the account earns 5% APR as simple interest for the invested principal.

Now, the formula of simple interest gives that,

A = P(1 + \frac{rt}{100}), where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.

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5 0
3 years ago
What is the range of the data below <br> A.2 <br> B.5<br> C.12<br> D.13
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Range of the data = 13

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To find the range of the given data:

Let us first define what is range.

Range:

The range of the data set is the difference between the highest value and lowest value of the data set.

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Hence the range of the given data is 13.

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3 years ago
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