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
bezimeni [28]
3 years ago
9

X + y = 3 3x + 2y = 14

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

x = 8 , y = -5

Step-by-step explanation:

Solve the following system:

{x + y = 3 | (equation 1)

3 x + 2 y = 14 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = 14 | (equation 1)

x + y = 3 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + 2 y = 14 | (equation 1)

0 x+y/3 = -5/3 | (equation 2)

Multiply equation 2 by 3:

{3 x + 2 y = 14 | (equation 1)

0 x+y = -5 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 24 | (equation 1)

0 x+y = -5 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 8 | (equation 1)

0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = 8 , y = -5

You might be interested in
Any one that knows this please help thanks!
OLga [1]

Replace each occurrence of x by 7. So we have:-

7^2 + 3 / 7 - 9

= 52 / -2

= -26 answer

5 0
3 years ago
5x 2 +1=−13x−5 the two is an exponent for the 5x.
tester [92]

Answer:

x = - 2, x = - \frac{3}{5}

Step-by-step explanation:

Given

5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )

5x² + 13x + 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × 6 = 30 and sum = 13

The factors are 10 and 3

Use these factors to split the x- term

5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )

5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(5x + 3) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - \frac{3}{5}

3 0
3 years ago
Read 2 more answers
Given f(x) = 17-x^2, what is the average rate of change in f(x) over the interval [1, 5]
pentagon [3]
Average rate of change  over [1,5]   = f(5) - f(1)  /  5 - 1

=  [(17-5^2) - (17-1) ] / 4

=  (-8 - 16)  /  4  = -24 / 4  = -6 Answer
3 0
3 years ago
The length of a rectangle is 3 more than twice the width. Determine the dimensions that will give a total area of 27.
andrey2020 [161]
9 because 27 divided by 3 is 9
5 0
3 years ago
8/2 x 777/8 = <br><br> What is it?
trasher [3.6K]
6216/16 is the answer the mixed number is 388 1/2
8 0
3 years ago
Other questions:
  • Find the area of the circle. Leave your answer in terms of π. radius is 14 in.
    7·1 answer
  • 3 <br> solve ————— &gt; 0 <br> x - 2
    9·1 answer
  • Evalue f(x)=(-2)^2-3(-2)+5/(-2)^2+1
    6·1 answer
  • Which of the following is NOT a type of bisector?
    7·1 answer
  • LOTS OF POINTS FOR HELLLP
    15·2 answers
  • What is the solution set of {x | x &gt; -3} {x | x &lt; 3}?
    11·1 answer
  • Identity the range of the function shown in the graph.
    9·2 answers
  • 2x+y=5 , 3x+2y=8 solve using cross multiplication​
    8·1 answer
  • What is the probability that the first marble is blue and the second marble is yellow?
    5·1 answer
  • A recipe for sparkling water juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!