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
bazaltina [42]
3 years ago
7

Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b

e eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is - x + 6yThere is only one solution to the system of equations.

Mathematics
2 answers:
frutty [35]3 years ago
6 0

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

blagie [28]3 years ago
6 0

Answer:

Step-by-step explanation:

This is the answer

You might be interested in
Find the slope and y-intercept (solve for y) -4y+2x= -20
kenny6666 [7]

Answer: y = 5 + \frac{1}{2}

Step-by-step explanation:

-4y + 2x = -20

Move the variable to the right

-4y = -20 - 2x

Divide Both sides

5 + \frac{1}{2}

***If you found my answer helpful, please give me the brainliest. :) ***

4 0
3 years ago
Read 2 more answers
Which fraction is not equivalent to 30/48 ?
laiz [17]
C and D.If I'm right,can u make me the brainliest answer?Thank You.
7 0
3 years ago
Read 2 more answers
1.The diameter of a circle is 20m. Find the circumference to the nearest tenth
Temka [501]

Answer:

62.8

Step-by-step explanation:

The formula for circumference is 2(pi)r

Let's plug in the values.

Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>

3.14 x 20

= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!

<em>Hope this helps!</em>

3 0
3 years ago
There are 12 books on a shelf 5 of these books are new the rest are used what is the ratio of new books to used books
tiny-mole [99]

Answer:

5:7

Step-by-step explanation:

Basically you first find the amount of the books are the shelf knowing that you have 5 new books, you subtract the amount of new books from total books. And 5:7 can't be simplified any further making 5:7 the answer.

5 0
3 years ago
Read 2 more answers
Pls help with this someone i'm struggling with this!
AfilCa [17]

Answer:

x=9

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE HELP Please
    9·1 answer
  • Identify the terms of the expression. Then give the coefficient of each term. 11r+7s
    6·1 answer
  • How would you solve it. I know the answer already. my problem working it out.<br> 4b/2 + 3 = 11 + b.
    15·2 answers
  • Please simplify the two expressions and tell me how to do number 9 please
    11·2 answers
  • A car rental company has 2 rental plans. plan A charges $49 per day. plan B charges $25 per day, plus $.10 per mile. how many mi
    11·1 answer
  • NEED HELP ASAP OR I WILL FAIL
    10·1 answer
  • How to write a rule for transformations
    11·1 answer
  • If y varies directly as x, and y =6 when x =10, find x when y=18
    15·1 answer
  • Some body is there in room.​
    13·1 answer
  • What is 121% as a fraction then decimal
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!