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
forsale [732]
2 years ago
11

Solve the following systems by Elimination

Mathematics
1 answer:
Alenkasestr [34]2 years ago
3 0

Answer:

The solutions for both system of equations are as follows:

  1. (5,2)
  2. (2,-1)

Step-by-step explanation:

The first set of equations is:

4x+6y=32\\3x-6y=3\\

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5

Putting x=5 in equation 1

4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2

The solution is (5,2)

The second set of simultaneous equations is:

-3x+5y=-113x+7y=-1

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1

Putting y= -1 in first equation

-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows:

  1. (5,2)
  2. (2,-1)
You might be interested in
Use Newton's method to approximate a root of the equation 3x^7+2x^4+3=0 Let x1 =1 be the initial approximation. The second appro
liubo4ka [24]

Answer:

3.3

Step-by-step explanation:

logging in and answering

5 0
3 years ago
Answer this question plzzzz ASAPPPPP!!!!!!!!
NISA [10]
Its the bottom one...
6 0
3 years ago
Read 2 more answers
I need this fast it’s due tonight
defon

Answer:

12

Step-by-step explanation:

diameter is just radius times 2

hope this helps!

please mark me brainliest! thanks!

7 0
2 years ago
suppose triangle ABC is reflected over the x-axis. If the distance between point A and the x-axis is 7, what is the distance bet
astra-53 [7]

Answer:

7

Step-by-step explanation:

If A is 7 units away from the x-axis then the x-axis is seven units away from A.

That's if I read the question right.

6 0
3 years ago
HELP!!
tamaranim1 [39]
Question 1: <span>The answer is D. which it ended up being <span>0.9979
</span>
Question 2: </span>The expression P(z > -0.87) represents the area under the standard normal curve above a given value of z. What is P(z > -0.87)? Express your answer as a decimal to the nearest ten thousand

The expression P(z > -0.87) represents the area under the standard normal curve above a given value of z. What is P(z > -0.87)? Express your answer as a decimal to the nearest ten thousandth (four decimal places). So being that rounding it off would mean your answer would be = ?

Question 3: <span>Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. 
a. What percentage of the people taking the test score between 400 and 500?
b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
c. A university will not admit a student who does not score in the upper 25% of those taking the test regardless of other criteria. What score is necessary to be considered for admission? </span>z = 600-450 /100 = .5 NORMSDIST(0.5) = .691462<span><span> z = 400-450 /100 = -.5 NORMSDIST(-0.5) = .30854

P( -.5 < z <.5) = .691462 - .30854 = .3829 Or 38.29%
Receiving score of 630:
z = 630-450 /100 = 1.8 NORMSDIST(1.8) = .9641
96.41% score less and 3.59 % score better
upper 25%
z = NORMSINV(0.75)= .6745
.6745 *100 + 450 = 517 Would need score >517 to be considered for admissions </span><span>
Question 4: </span>The z-score for 45cm is found as follows:</span>
Reference to a normal distribution table, gives the cumulative probability as 0.0099.
<span>Therefore about 1% of newborn girls will be 45cm or shorter.</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • You are making candles for your friends. A mold for the candles costs $22.50 and wax to make one candle costs $5. Write an algeb
    11·2 answers
  • Explain why 9^4 = 3^8.
    11·2 answers
  • Determine the amplitude of the function y = -2 sin x from the graph shown below:
    8·1 answer
  • Given the function f(x)=6x^2+3 Find f(2a)
    9·1 answer
  • Simplify completely quantity 2 x minus 24 over 8.
    12·2 answers
  • 3. Solve the equation below for X<br> 9 ( X- 5) = 4x – 5<br><br> A 8<br> B 10<br> C-8<br> D-10
    15·2 answers
  • Distance between -6, -4, and -9, 0 on a coordinate plane
    5·1 answer
  • WILL GIVE BRAINLIEST PLZ HURRY
    5·1 answer
  • Please help!! Match the cards that have equivalent expressions.
    7·1 answer
  • How do you write 4/ 9 as a decimal?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!