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
Dimas [21]
3 years ago
6

When Megan solved this system using the elimination method , she added the equations together and got the equation 4y = 16. Then

she solved that equatio n and got y = 4. Then she substituted 4 in the first equation for y and solved for x. She got x = 4. The point (4, 4) is not the correct solution. Please state in a complete sentence where she made her first mistake. What is the correct solution to the system ? Show your work in the space provided. 2x + 3y = 20 - 2x + y = 4
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

Megan added the equations together but  she subtract 4 instead of addition of 4. The correct solution is (1,6).

Step-by-step explanation:

The given equations are

2x+3y=20        ...(1)

-2x+y=4            .... (2)

Add both equations to eliminate x.

2x+3y-2x+y=20+4

4y=24

Megan make a mistake in this step. She added the equations together but she subtract 4 instead of addition of 4.

Divide both sides by 4.

y=6

Put this value in equation (1).

2x+3(6)=20

2x+18=20

2x=2

Divide both sides by 2.

x=1

Therefore the correct solution is (1,6).

You might be interested in
A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!
I am Lyosha [343]

Answer:

V≈ 863.27 in³

Step-by-step explanation:

6 0
3 years ago
Composite Figures
ahrayia [7]

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

4 0
1 year ago
Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
vladimir1956 [14]

Answer:

x2 = 60

Step-by-step explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

x1 * y1 = k

12 * 15 = k

k = 180

Now, we can use the same constant to find x2:

x2 * y2 = k

x2 * 3 = 180

x2 = 180 / 3 = 60

So the value of x2 is 60.

3 0
3 years ago
What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A
Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

L = 2\pi r \left(\dfrac{n}{360}\right)

here,

n = degrees

r = radius

using this we'll solve all the parts:

r = 10, n = 20:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (10) \left(\dfrac{20}{360}\right)

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

L = \pi (10) \left(\dfrac{20}{180}\right)

10 and 180 can be resolved: 180 divided by 10 = 18

L = \pi \left(\dfrac{20}{18}\right)

finally, both 20 and 18 are multiples of 2 and can be resolved:

L = \pi \left(\dfrac{10}{9}\right)

L = \dfrac{10\pi}{9} Option (E)

r=3, n=6:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (3) \left(\dfrac{6}{360}\right)

L = \dfrac{\pi}{10} Option (D)

r=4 n=7

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (4) \left(\dfrac{7}{360}\right)

L = \dfrac{7\pi}{45} Option (C)

r=2 n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (2) \left(\dfrac{x}{360}\right)

L = \dfrac{x\pi}{90} Option (D)

r=y n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (y) \left(\dfrac{x}{360}\right)

L = \dfrac{xy\pi}{180} Option (E)

6 0
3 years ago
A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequa
Aleks04 [339]
3.79x < = 15 (thats less then or equal)
5 0
3 years ago
Read 2 more answers
Other questions:
  • 3^2∙3^n simplifies to 3^20
    14·1 answer
  • Joseph and Tyler went to the hobby store. They each bought a race car for $15.99. Joseph bought a blue race car for $2.99 and Ty
    13·1 answer
  • If angle a has a measurement of 42 degrees and is complentary to angle b , what's the measure of angle b ?
    15·1 answer
  • I need to know how to solve it
    10·2 answers
  • Evaluate the expression when<br> c=5/8<br> x= -3/16<br> 4x-c<br> Write your answer in simplest form.
    14·1 answer
  • Which of the following is a characteristic of Euclidean geometry?
    7·1 answer
  • Solve the two step equations
    14·1 answer
  • Do the side lengths 9,12,15 classify as a right,acute,obtuse triangle, or “no possible triangle”
    12·1 answer
  • Someone please help me im abOUt To CrYY
    14·2 answers
  • A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!