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
sergiy2304 [10]
3 years ago
12

A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation

2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?
Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

Answer:

The correct answer is B. Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"

Step-by-step explanation:

AysviL [449]3 years ago
3 0
(1) x + 3y = 5

(2) 7x - 8y = 6

Condition: equation (2) is multiplied by 1

If you multiply equation (1) by 1 and add the equation (2), you get

  x + 3y = 5
7x  - 8y = 6
----------------
8x - 5y = 11

So, if the student proves that the system formed by the new equation and the second equation is the same, he/she will have the proof:

So, the answer is "s<span>how that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"</span>
You might be interested in
In a business, if A can earn $7500 in 2.5 years, find the unit rate of his earning per month
andrew11 [14]

2.5 years = 30 months

7500$ in 30 months

x$ in 1 month

___________________

x = (7500*1)/30 = 250

The answer is 250$/month.

5 0
3 years ago
Read 2 more answers
Solve the inequality <br> 52 - 3x &lt; -14
nata0808 [166]

Answer:

x>22

Step-by-step explanation:

Solve the inequality:

-3x<-14-52

-3x<-66

x>22

( You have to switch the sign because you are dividing by a minus)

6 0
3 years ago
PLEASE HELP ME, ILL BRAINLIEST YOU ill give u 30 points if you help
lisov135 [29]

Answer:

x = 58

y = 90

Step-by-step explanation:

  • This is a rhombus becuase it a quadralterial and it has four right triangles, and it diagonals bisect each others so it cant be a trapezoid, and paralleolgram. and it doesnt have four right corner angles so it cant be a square or rectangle or kite.

A rhombus inner angle measure is 90 degrees.

So

y = 90

This means the upper left angle of the top triangle measure is 58 becuase triangle interior theorem.

Since a rhombus bisects angles, angle x measure 58.

7 0
3 years ago
Read 2 more answers
Solve for θ. <br>sin(74) = cos(θ) <br><br>1. 6° <br>2. 74° <br>3. 36° <br>4. 16° ​
Marianna [84]

Sin74 = Cos16

cause 16 + 74 = 90

Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :

Sin(30) = Cos(60)

and also

Tan(30) = Cot(60)

5 0
3 years ago
Read 2 more answers
The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show
sattari [20]

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

Q_3=\frac{3}{4}*(n+1)^{\text{th term}}, where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

Q_3=\frac{3}{4}*(12)^{\text{th term}}

Q_3=3*3^{\text{th term}}

Q_3=9^{\text{th term}}

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0
4 years ago
Read 2 more answers
Other questions:
  • Bradley's lemon cookie recipe calls for 2/3
    7·1 answer
  • The table shows the elevations of four cities in the Netherlands which city in the Netherlands is below sea level
    5·3 answers
  • Find the greatest common factor of the expressions.<br> 5x^7, 30x
    11·2 answers
  • (added picture!) PLEASE PLEASE PLEASE HELP!!
    14·2 answers
  • How many miles does he have to run each day ( if he runs the same amount everyday) and has 31 days to get 217 miles?
    10·1 answer
  • Will mark brainlest please help!!!!<br> all the choices are the same
    5·1 answer
  • Find the perimeter and area of a rectangle with a width of 2 feet and a length 3 times as long.
    9·2 answers
  • Enter the appropriate value to answer the question or solve the problem.
    6·1 answer
  • Find the equation of the line with slope m=1/4 that contains the point (4,5).
    6·1 answer
  • What is the area of a regular triangle with perimeter = 36 in??
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!