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
Marysya12 [62]
3 years ago
9

Determine the equivalent system for the given system of equations:

Mathematics
1 answer:
Alenkinab [10]3 years ago
7 0

Answer:

They are an equivalent system and the values are x=17/37 and y=-16/37

Step-by-step explanation:

Systems of equations that have the same solution are called equivalent systems.

Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

(-4)*(5x + 3y = 1) → -20x - 12y = -4

(5)*(4x − 5y = 4) → 20x - 25y =20

Add the last 2 eq →  -37y= 16 →  y= - 16/37

replace this value in any equation of the system.

5x + 3(-16/37) = 1 →  x= (1 +48/37)/ 5 =(37/37 + 48/37)/5=(85/37)/5 = 17/37

We have x and y values. Replace this values in both equation and verify the result

5x + 3y = 1  → 85/37 -48/37 =37/37=1

4x − 5y = 4 → 68/37 + 80/37= 148/37= 4

So, in fact, they are a equivalent system

You might be interested in
A friend has offered to play a gambling game with you that involves flipping a coin that she has provided. You want to test the
Sloan [31]

Answer:

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

5 0
2 years ago
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

A\leq 27\ m^{2}

so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

L=(x-9)+6

L=x-3 ------> equation D

Substitute equation B and equation D in the inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The solution for x is the interval---------->[0,12]

see the attached figure

but remember that

The width of the base must be 9 meters less than the height of the prism

so

the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
2 years ago
Read 2 more answers
Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).
Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if (x_1,y_1) and (x_2,y_2) are the coordinates of end points of line segment then the coordinates of mid-point are

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

∴ Coordinates of mid-point of line segment joining the points          (3, 10) and (7, 8) are

(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)

Hence, option 2 is correct.

6 0
2 years ago
Read 2 more answers
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
olga nikolaevna [1]

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

7 0
2 years ago
Read 2 more answers
Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which eq
Over [174]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Pima is 12 years younger than Jerry the sum of their ages 76 what is jars age
    8·1 answer
  • Need help filling in the blanks.. comparing depreciation methods.
    12·1 answer
  • How do u find length of a obtuse angle
    13·2 answers
  • Match the numbers in scientific notation with the corresponding numbers in standard notation. 2.32E9
    6·1 answer
  • Please help me 123 or 4
    5·1 answer
  • If y=10 when x=15 find x when y=35
    11·1 answer
  • Can someone please please help me out :)
    5·1 answer
  • A small tree is beginning to lean. The owner decides to set up a tension wire to straighten the tree’s growth. The owner chooses
    9·1 answer
  • Find the measure of angle JML.
    10·1 answer
  • What is the slope-intercept equation for this line?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!