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
LUCKY_DIMON [66]
4 years ago
9

Solve the system of equation by the addition method x-2y=11 and -x+6y =-31

Mathematics
1 answer:
Sonbull [250]4 years ago
3 0

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

You might be interested in
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X
Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

7 0
3 years ago
What is the value of x in the equation -x=2-3x+6
Ahat [919]
-x+3x=2x
2x=2+6
2x=8
8/2=4
x=4
8 0
3 years ago
Read 2 more answers
Can someone please answer this for me i cant figure it out.
Jlenok [28]
<h3>Answer:</h3>

\displaystyle x^{\frac{2}{3}}

<h3>Step-by-step explanation:</h3>

The rules of exponents tell you ...

... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses

... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression

The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...

... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2

Now, you have ...

... (x^2)^(1/3)

and the rule of exponents tells you to multiply the exponents.

... = x^(2·1/3) = x^(2/3)

3 0
3 years ago
Read 2 more answers
a bicycle store costs $2400 per month to operate. the store pays and average of $60 per bike. the average selling price of each
Soloha48 [4]
40 bikes. 120 times 40 equals 4800 divided by 2 because they pay for half the bike will be 2400
4 0
3 years ago
four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
kolezko [41]

90 points where at least two of the circles intersect.

<h3>Define circle.</h3>

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

To learn more about circle, visit:

brainly.com/question/11213974

#SPJ4

3 0
1 year ago
Other questions:
  • What’s is the range of the data below
    5·2 answers
  • Please explain how to get answer I'm confused thanks!
    5·1 answer
  • A function grows exponentially at a rate of 10%. If the value at x = 3 is 665.5, what is the value of a in the formula f(x)= ab^
    5·1 answer
  • What is a square root?
    6·2 answers
  • How many kilometers are equivalent to 3,570 meters?
    11·1 answer
  • write the first two product in the table below. then use the pattern in the product to write the last two product in the table.
    10·1 answer
  • Tia is going to create another sculpture that has the same dimensions, but it will not be hollow. She plans to use wood for the
    7·2 answers
  • Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
    12·1 answer
  • WILL GIVE BRAINLIEST
    15·2 answers
  • HELP RN PLEASE!!!!!!!!​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!