1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gekata [30.6K]
2 years ago
15

Directions: State whether or not (3, -2) is a solution to the following systems.

Mathematics
1 answer:
andrew11 [14]2 years ago
8 0

(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

<u>1. x - 2y = 7 and 2x + 3y = 0</u>

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

<u>2.- x - y = -5 and 3x - 4y = 17</u>

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17

<u>3. x + y = 1 and x - y = 6</u>

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

brainly.com/question/13729904

#SPJ1

You might be interested in
He gets paid £6.80 per hour<br> how many hours for 9 and half hours
Akimi4 [234]

Answer: 64.60

Step-by-step explanation:

lets do 6.80x9

= 61.20

for the half an hour, divide 6.80 by 2

it would be 3.40

61.20+3.40= 64.60

5 0
3 years ago
Read 2 more answers
Choose the correct slope of the line that passes through the points (1, −3) and (3, −5). I NEED HELP ASAP
Degger [83]
The slope would be:
-5--3/3-1
-2/2
-1

Slope = -1
6 0
3 years ago
What is the measure of 1
postnew [5]

Answer:60

Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120

7 0
3 years ago
Draw 3 rows of 10 oranges.
statuscvo [17]
We cannot help you with that, sorry
8 0
3 years ago
Read 2 more answers
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts
Hunter-Best [27]

Answer:

The value of the test statistic is t = 2.1

Step-by-step explanation:

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected value, \sigma is the standard deviation and n is the size of the sample.

The level of ozone normally found is 7.5 parts/million (ppm).

This means that \mu = 7.5

The mean of 24 samples is 7.8 ppm with a standard deviation of 0.7.

This means that X = 7.8, \sigma = 0.7, n = 24

Test Statistic:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{7.8 - 7.5}{\frac{0.7}{\sqrt{24}}}

t = 2.1

The value of the test statistic is t = 2.1

7 0
3 years ago
Other questions:
  • What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea
    5·1 answer
  • HELP MEH YOU GET 18 points!
    13·2 answers
  • Perry bought an orange and an apple for a total of 40 cents. The Orange was 10 cents more than the apple. What was the cost of e
    15·1 answer
  • Two students devised a game called “3 Pennies &amp; 2 Nickels.” Each player will choose to play the pennies or the nickels. In e
    15·2 answers
  • Please help. im terrible at math.
    15·2 answers
  • Evaluate the expression <br>|23-4| <br>-21<br>-7<br>19<br>27<br>​
    15·1 answer
  • In
    5·1 answer
  • Mhanifa please help look at the picture attached
    8·2 answers
  • Find the value of c, round to the nearest tenth<br><br> 7, 11, c
    5·1 answer
  • Write -12 3/4 as a decimal number
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!