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Likurg_2 [28]
3 years ago
7

Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

alue of y? y =
Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0

Answer:

3/4

Step-by-step explanation:

i just took the test

nadezda [96]3 years ago
4 0

Answer:

<h2>y = -4/9</h2>

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

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Audrey's bank account is currently at $75 a fee of 12.50 is deducted each month from Audreys she must maintain a balance greater
meriva

Answer:

5 months

Step-by-step explanation:

Current balance = $75

Monthly deductions = $12.50

75 - 12.5h

Where ,

h = number of months for deduction

she must maintain a balance greater than zero dollars

how many months will Audrey's account stay above zero dollars

0 > 75 - 12.5h

0 - 75 > -12.5h

-75 > - 12.5h

h < -75 / 12.5h

h < 6 months

h < 6 months means h must be less than 6 months which is 5 months

Audrey's account will stay above zero dollars for 5 months and will equal zero dollars in the 6th month

8 0
3 years ago
Please help me out !! Asap
Paraphin [41]

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

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

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

8 0
3 years ago
Read 2 more answers
1/3 chose beef<br> 5/12 chose chicken <br> 69 chose vegetarian<br> how many people all together
Alenkasestr [34]
I’m just here to share positive

You got this!!
I believe in you:)
6 0
3 years ago
when Jeremy surveyed Thirty seventh grade students at the community pool he found that to a 15 had not read at least one book du
Anettt [7]

200 * 2/15 = the number of students that didn't read any books. This is 26.6, so 40 is not a good estimate 40 students is 20 percent versus 26 being approximately 13 percent.


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ur welcome(;

have a great day

8 0
3 years ago
70 + x + 55 + 30 = 180
sergiy2304 [10]

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

3 0
2 years ago
Read 2 more answers
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