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
The volume of this cylinder is 20,403.72 cubic yards. What is the radius? Use ​ ≈ 3.14 and round your answer to the nearest hund
MakcuM [25]
The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).

To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.
4 0
2 years ago
To compute the first four terms of the arithmetic sequence -6(n-1) + 22, what formula would be used in cell B3?
yulyashka [42]
= -6 * (A3 - 1) + 22 .
3 0
3 years ago
In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angl
Yanka [14]

Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

4 0
3 years ago
Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Whi
love history [14]

Answer:

The answer is 75% and 75/100

8 0
3 years ago
When the solution to each of the two equations below are graphed in the xy coordinate plane, the graphs of the solutions interse
Anit [1.1K]
1.-3
2.-2
3.0
4.0
5.6
I hope this helps.:)
5 0
3 years ago
Other questions:
  • What is the value of -3 +4.5 - (-1.2)?
    5·1 answer
  • Write four equivalent expressions for 3(6m+3)
    9·1 answer
  • Number 8 please, I don't understand it
    7·1 answer
  • A plumber had two pipes. The ratio of the length of the longer pipe to the
    13·1 answer
  • Tìm X<br> 3x2-3x×(x-2)-12=0
    11·1 answer
  • (X-2/3)^2+y^2 =36 <br> What is its center? <br> What is its radius
    8·2 answers
  • Factor completely x2 − 36. (1 point)
    13·1 answer
  • David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?
    8·1 answer
  • a golf course placed an order of 5075 golf balls if there are 7 balls in each package how many packages did the golf course orde
    5·1 answer
  • Full Explanation<br> Will mark Brainlist
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!