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Evgesh-ka [11]
1 year ago
9

1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

Mathematics
1 answer:
solmaris [256]1 year ago
8 0

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\rm y  = \dfrac{-3}{2} (x)\\\\y = -1.5x

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\rm y = \dfrac{2}{3} x + c

Then this line also passes through a point (2, -3). Then the value of c will be

\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \  = -13

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

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If g(x)= 3x-1 solve for x when g(x)=-20.
Nadya [2.5K]

Good evening

Answer:

x=\frac{-19}{3}

Step-by-step explanation:

g(x) = -20

⇔

3x-1 = -20

⇔

3x = -20 + 1

⇔

3x = -19

⇔

x = -19/3

____________________

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3 0
3 years ago
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
Paha777 [63]

We can use two different ways to solve this equation:

Because the board is 25 off, we can multiply the price and subtract the result:

30 - 0.25(30) = 30 - 7.5 = $22.50

We can also solve by multiplying the total price by 0.75

(1 - 0.25)(30) = 0.75(30) = $22.50

The sales price is $22.50

4 0
3 years ago
Read 2 more answers
The answer should look like this. (___,___) plzzz fast. ​
BartSMP [9]

Answer:

( -1, 15/2) or ( -1, 7 1/2)

Step-by-step explanation:

Formula: ( (x1 + x2)/2, (y1 + y2)/2 )

1. ( (-4 +6)/2, (8 + 7)/2 ) Plug in

2. ( -2/2, 15/2) Add/Subtract

3. ( -1, 15/2) or ( -1, 7 1/2) Divide

5 0
3 years ago
Read 2 more answers
Tammy has a job that has a weekly salary of $1,200 but wants to switch a job that has a monthly salary of $11,700. How much more
iogann1982 [59]

Answer:

$1529.8

Step-by-step explanation:

Given:

Tammy has a job that has a weekly salary of $1,200.

But wants to switch a job that has a monthly salary of $11,700

Question asked:

How much more will she make per week if she switch to the new job?

Solution:

Monthly salary of a new job, she wants to switch = $11,700

Weekly salary  of a new job, she wants to switch = ?

As we know : 1 month = 4.286 Weeks

Salary of 1 month for a new job, she wants to switch = $11,700

Salary of  4.286 Weeks  for a new job, she wants to switch =  $11,700

Salary of 1 Week  for a new job, she wants to switch = 11700\div4.286=\$2729.81

Now, we have to find that How much more she will make per week,  if she switch to the new job.

More money she will make for a new job she wants o switch = Weekly salary for a new job, she wants to switch  - Weekly salary of current job

More money she will make, for a new job = $2729.8 - $1200 = $1529.8

Therefore, she will  make $1529.8 more  per week if she switch to the new job.

3 0
3 years ago
All you need is on the photo
mariarad [96]

Answer:

4^{-3}

Step-by-step explanation:

We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}

5 0
3 years ago
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