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
White raven [17]
3 years ago
14

What is the first step in solving the system shown using the shown using the elimination method? (3x - 12y = 5 | 3y - x = 9 A. M

ultiply each term in 3y - x = 9 by 12. B. Multiply each term in 3y - x = 9 by -12. C. Rewrite the equations so like variable terms are in the same order. D. Add the corresponding sides of each equation.
Mathematics
2 answers:
sashaice [31]3 years ago
5 0

Answer: OPTION C.

Step-by-step explanation:

Given a System of equations, you can use the Elimination Method to solve it by transforming the system in order to cancel out one of the variables. But first, the terms of both equations must be written in the same order.

To cancel out one of the variables, the coefficients must be opposites, which means that one must be positive and the other one must be negative.

Given the following  System of equations:

\left \{ {{3x - 12y = 5} \atop {3y - x = 9} \right.

You can notice that the order of the terms is not the same, so, if you want to use the Elimination Method to solve the system of equations,  the first step you must apply is to rewrite the equations so like variable terms are in the same order.

Then:

\left \{ {{3x - 12y = 5} \atop {-x+3y = 9} \right.

Vlad [161]3 years ago
4 0

Answer:

C)

Step-by-step explanation:

You might be interested in
Identify the y intercept of the parabola below
Stells [14]

Answer:

The y intercept for this one is two.

5 0
2 years ago
Read 2 more answers
If you have 12 cups of flour and 3 eggs how many loaves of bread can you make
scoundrel [369]
How much of each is needed to make the bread?
5 0
3 years ago
If 50 × a = 50, then what is the value of 50 − a ?
Paraphin [41]

Answer: 50 - a = 49

Step-by-step explanation:

50 x a =50

50 x 1 = 50

a=1

50 - a = 50 - 1

50 - 1 = 49

5 0
2 years ago
Read 2 more answers
Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​
Lilit [14]

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

8 0
2 years ago
How do you factorise 14x -21xy
alexandr402 [8]
<span>Simplifying 14x + -21xy
 
Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -3y)

Final result:
7x(2 + -3y)
 
that is the answer on how to do it</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • You buy painting supplies for $12, and you charge $3 per person to paint faces. How many faces will you need to paint to earn $1
    8·2 answers
  • Each table represents a linear relationship. Which table(s) represent a slope of 3?
    11·1 answer
  • On a numberline, X is positioned at -9. What is the absolute value of X?
    7·1 answer
  • Which is true about the volume or surface area of these prisms?
    15·1 answer
  • Last year, James earned £1,100 per month. This year, he's had a 4% increase in his monthly pay. He worked 40 hours per week for
    5·1 answer
  • en el octagono regular siguiente cuyo lado mide 2 cm. se han trazado arcos de circunferencia de radio 1 en cada uno de los ángul
    10·1 answer
  • Ridley bought 3 3/4 yards of blue fabric,12 5/6 yards of red fabric,and 7 2/3 yards of purple fabric.if she paid $7.50 per yard,
    6·1 answer
  • An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is
    13·1 answer
  • HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
    14·2 answers
  • What is the answer. ​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!