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
pentagon [3]
3 years ago
10

What is the solution to the following system of equations?

Mathematics
2 answers:
Mrac [35]3 years ago
5 0

Answer:

<h2>x = 3, y = -1 ⇒ AB</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x-3y=6&\text{multiply both sides by (-2)}\\2x+2y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+6y=-12\\2x+2y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad8y=-8\qquad\text{divide both sides by 8}\\.\qquad\qquad y=-1\\\\\text{Put the value of y to the first equation:}\\\\x-3(-1)=6\\x+3=6\qquad\text{subtract 3 from both sides}\\x=3

Natali5045456 [20]3 years ago
4 0

Answer: y = -1 and x = 3

Step-by-step explanation:

x - 3y = 6 --------(1)

2x + 2y = 4 -------(2)

we multiply (1) by 2

2x - 6y = 12 --------(3)

(3) - (1)

-8y = 8

y = -1

Putting y = -1 into equation (1)

x - 3 (-1) = 6

x + 3 =6

collect the like term

x = 6 - 3

x = 3

Therefore x= 3 and y = -1

You might be interested in
Can someone help me with #3? Thanks!
labwork [276]
I hope this helps you

4 0
3 years ago
Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.
Reptile [31]

Answer:

  C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

  sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

  sin(Θ) = (√2)/2

6 0
2 years ago
Can you help me with these two because I don't understand​
OverLord2011 [107]

Answer: 1: 34 units    2: 24.5

Step-by-step explanation:

For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...

4x4= 16

(4x3)/2= 6

(4x4)/2= 8

(4x2)/2= 3

16+6+8+3 = 34

You do the same for figure 2, but use 4 triangles and 1 tiny square

1x1= 1

(4x3)/2= 6

(3x3)/2= 4.5

(4x4)/2= 8

(5x5)/2= 5

1+6+4.5+8+5= 24.5

You shouldn't need to worry about negative numbers because you are looking at the area

5 0
2 years ago
I WILL GIVE BRAINLIEST PLEASE HELP!!!
luda_lava [24]

Answer:

Step-by-step explanation:

interchange x and y

y= 1/(x - 2)

x = 1 / (y - 2)      Multiply both sides by y - 2

x(y - 2) = 1          Remove the brackets

xy - 2x = 1          Add x to both sides

xy = 1 + 2x         Divide by x

y = (1 + 2x)/x

The brackets have been destroyed. The answer is as I've given it.

y = (1/x) + 2

5 0
3 years ago
The box-and-whisker plot represents the lengths (in minutes) of movies being shown at a theater.
GaryK [48]

Answer:

20

Step-by-step explanation:

130-110

Q3-Q1=IQR

Hope this helps!

3 0
2 years ago
Read 2 more answers
Other questions:
  • If tan f° = two over one and the measure of segment YW is 8 units, what is the measure of segment XW? triangle XYW in which angl
    5·2 answers
  • A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the
    5·1 answer
  • is hanging birdhouses on her ​fence, which includes one red post. The first birdhouse is 27.7 in. to the right of the red post.
    6·2 answers
  • Tell whether the lines for this equation are parallel, perpendicular or neither
    14·1 answer
  • Perform the operation. (10x2 – 10x – 6) + (x+6)
    6·1 answer
  • PLEASE PLEASE PLEASE HELP PLEAS :( THE SECOND ONE JEJEJEJDD PLEASEEEEEE
    12·2 answers
  • What type of triangle is formed by joining the vertices A(-3, 6), B(2, 1), and C(9, 5)
    6·1 answer
  • Verify the identity <br> sin^2(x)cos^2(x)=1/8(1-cos(4x))
    11·1 answer
  • Which of the following systems would produce a hormone that causes bones to grow?
    6·2 answers
  • Helppp pls ASAP plsss help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!