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3 years ago

What is the solution to the following system? X+2y+z=9 X-y+3z=13 2z=10

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

Answer: x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

Start with the last equation: 2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.

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3 years ago

You own a motel and have a pricing structure that encourages rentals of rooms in groups.

zheka24 [161]

Answer:

$41

Step-by-step explanation:

One room rents for $68,
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3 years ago

A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?

Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

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6 0

3 years ago

Read 2 more answers

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

lakkis [162]

Answer:

$9810.59

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

P is principle amount
r is rate
t is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 7300

r = 3% = 0.03

t = 10

Step 2: Solve for A

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

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3 years ago