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UNO [17]
3 years ago
9

2x - 3y = 12 x = 4y + 1

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

x = 9, y = 2 is the solution of the given system.

Step-by-step explanation:

Here, the given set of equation is :

2 x - 3 y = 12

x = 4 y + 1

Now, from equation (2) we see that x = 4 y + 1.

Substitute the value of y from (2) in the first equation. we get:

2 x - 3 y = 12  ⇒ 2 (4 y + 1) - 3 y = 12

or, 8 y + 2 - 3 y = 12

or, 5 y = 12- 2  = 10

or, y = 10/ 5 = 2

or, y = 2

Now, x = 4 y + 1   ⇒ x  =  4(2)  + 1 = 8 + 1 = 9, or x = 9

Hence, x = 9, y = 2 is the solution of the given system.

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I am Lyosha [343]

Answer:

x = 14

Step-by-step explanation:

The 2 given angles are vertical angles abd are congruent, so

4x - 22 = x + 20 ( subtract x from both sides )

3x - 22 = 20 ( add 22 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Then

x + 20 = 14 + 20 = 34°

4x - 22 = 4(14) - 22 = 56 - 22 = 34°

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2 years ago
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Dafna1 [17]

Answer:

The answer is 17

Step-by-step explanation:

First step is dividing 45÷9 = 5

Then, 2² = 4

Now you have: 4 × 5 - 3 => 20 - 3 => 17

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3 years ago
Read 2 more answers
What will go Inside the boxes?
e-lub [12.9K]

Answer:

18500 is the initial value

Every year they increase by a factor of 1.03

Step-by-step explanation:

This is written in the form

y = ab^x  where a is the initial value and b is the growth rate/decrease

y = (18500) (1.03)^t

The initial value is 18500

The students will increase by 1.03 - 1 = .03

The factor of increase is what they multiply by which is 1.03

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3 years ago
HELP ME PLEASE ITS DUE TODAY!!!!
Stells [14]

Step-by-step explanation:

- 5 - ( - 4) =  - 5 + 4 =  - 1 \\  - 4 - ( - 5) =  - 4 + 5 = 1 \\  - 4 - (5) =  - 4 - 5 =  - 9 \\ 4 - ( - 5) = 4 + 5 = 9

Therefore ranking them from least to most:

- 4 - (5) \\  - 5 - ( - 4) \\  - 4 - ( - 5) \\ 4 - ( - 5)

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2 years ago
The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School
storchak [24]

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

Now solve the 2 equations simultaneously

<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>

6x+7y=412..........1

6x+9y=504.........2

make x the subject of one equation

and label it equation 3

6x=412—7y

x =  \frac{206}{3}  -  \frac{7y}{6} .............3

subs 3 into 2

6( \frac{206}{3}  -  \frac{7y}{6} ) + 9y = 504

412 - 7y + 9y = 504

- 7y + 9y = 504 - 412

2y = 92

y = 46...................4

subs 4 into 1

6x + 7(46) = 412

6x + 322 = 412

6x = 412 - 322

6x = 90

x = 15

Therefore there are 15 students in each van and 46 students in each bus.

3 0
2 years ago
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