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
insens350 [35]
3 years ago
14

Solve the systems of equations using substitution. 2x+3y=-8 ,x=4y+7

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

(-1, -2)

Step-by-step explanation:

Since the question requires the use of substitution, that's how I will go about this.

Logically, since we know what x equals, with respect to y, we can plug that into the other equation for x, making our equation only have y, therefore, we can solve for one variable at a time, and then use that y value to solve for x

2x + 3y = -8

In this case we are told that x = 4y + 7, therefore that's what we substitute in.

2(4y + 7) + 3y = -8

8y + 14 + 3y = -8

11y +14 = -8

11y = -22

y = -2

Now, since we know y's exact value, we can use that and solve for x in the other equation.

x = 4(-2) + 7

x = -8 + 7

x = -1

Therefore, your final answer is

(-1, -2)

You might be interested in
You want to know the type of music listened to by 15- to 20-year-olds. Which of the following surveys is biased?
Liula [17]
 Arguably, all of them are at least somewhat biased, but the most biased would be <span>surveying people 15 to 20 years old leaving a concert </span>  because being at a concert would be highly correlated with liking the type of music played at that concert.
6 0
3 years ago
Ava wrote the expression 4 minus 2 Over 3 minus 1 to determine the slope of a line. Which table might represent Ava’s line?
Genrish500 [490]

Answer:option 3

Step-by-step explanation:i got it right

6 0
3 years ago
Read 2 more answers
What is the value of the function at x = −3?
zlopas [31]

Answer:

the answer is D

Step-by-step explanation:

(0, -3) , (1, -3) , (2, -3)

Hope this helps! :)

~Zane


4 0
3 years ago
Read 2 more answers
A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo
borishaifa [10]

Answer:

a) P(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

b) P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(7.37,1.25)  

Where \mu=7.37 and \sigma=1.25

We are interested on this probability

P(5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

Part b

For this case we want this probability:

P(X>6)

And we can use the z score and we got:

P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-P(Z

8 0
3 years ago
What numbers are multiples of 7 and factors of 28
bija089 [108]
7 and 14 are both multiplies
4 0
3 years ago
Read 2 more answers
Other questions:
  • Choose the ratio that you would use to convert 2.5 centimeters to meters please
    11·2 answers
  • Complete the missing parts of the table for the following function y=(1/5)
    13·1 answer
  • I need to find tan c because I don’t know it
    7·1 answer
  • 2/3 of 16 <br><br><br><br><br><br> ...........................
    10·2 answers
  • The total length of a road trip was 15.6 hours. If highway signs are posted every 0.06 hours, including one at the end of the ro
    7·1 answer
  • A large order of cheesy fries costs $7. How much would it costs to buy three orders of cheesy fries?
    5·1 answer
  • What is the product?
    14·2 answers
  • 6/9<br> Find the product of<br> and<br> 3/8 Express your answer in simplest form.
    6·1 answer
  • Which of the following numbers is a multiple of 7?
    5·1 answer
  • In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!