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
artcher [175]
3 years ago
10

Solve the system using elimination

Mathematics
1 answer:
Pie3 years ago
5 0

Answer:

(x, y) = (3, 1)

Step-by-step explanation:

given the 2 equations

2x + 3y = 9 → (1)

x + 5y = 8 → (2)

multiplying (2) by - 2 then adding to (1) will eliminate the term in x

multiply (2) by - 2

- 2x - 10y = - 16 → (3)

add 1(1) and (3) term by term

(2x - 2x) + (3y - 10y) = (9 - 16)

- 7y = - 7 ( divide both sides by - 7 )

y = 1

Substitute y = 1 in either (1) or (2) and solve for x

(1) : 2x + 3 = 9 ( subtract 3 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Solution is (3, 1 )


You might be interested in
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
To what subsets does -17 belong
Nikolay [14]
Rational number, negative, integer
5 0
3 years ago
Divide 3/4 divided by 6
noname [10]

Answer: 1/8

░░░░░░░░░░░░░░░░░░░░░▄▀░░▌

░░░░░░░░░░░░░░░░░░░▄▀▐░░░▌

░░░░░░░░░░░░░░░░▄▀▀▒▐▒░░░▌

░░░░░▄▀▀▄░░░▄▄▀▀▒▒▒▒▌▒▒░░▌

░░░░▐▒░░░▀▄▀▒▒▒▒▒▒▒▒▒▒▒▒▒█

░░░░▌▒░░░░▒▀▄▒▒▒▒▒▒▒▒▒▒▒▒▒▀▄

░░░░▐▒░░░░░▒▒▒▒▒▒▒▒▒▌▒▐▒▒▒▒▒▀▄

░░░░▌▀▄░░▒▒▒▒▒▒▒▒▐▒▒▒▌▒▌▒▄▄▒▒▐

░░░▌▌▒▒▀▒▒▒▒▒▒▒▒▒▒▐▒▒▒▒▒█▄█▌▒▒▌

░▄▀▒▐▒▒▒▒▒▒▒▒▒▒▒▄▀█▌▒▒▒▒▒▀▀▒▒▐░░░▄

▀▒▒▒▒▌▒▒▒▒▒▒▒▄▒▐███▌▄▒▒▒▒▒▒▒▄▀▀▀▀

▒▒▒▒▒▐▒▒▒▒▒▄▀▒▒▒▀▀▀▒▒▒▒▄█▀░░▒▌▀▀▄▄

▒▒▒▒▒▒█▒▄▄▀▒▒▒▒▒▒▒▒▒▒▒░░▐▒▀▄▀▄░░░░▀

▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▄▒▒▒▒▄▀▒▒▒▌░░▀▄

▒▒▒▒▒▒▒▒▀▄▒▒▒▒▒▒▒▒▀▀▀▀▒▒▒▄

7 0
3 years ago
Read 2 more answers
50000 fish were stocked in a lake with a 20% decrease each year . whats the 1st year will it be under 5000 fish
Marina CMI [18]

Answer:

no it will no be

Step-by-step explanation:

6 0
3 years ago
Question choices:<br> A: I, IV<br><br> B: II, III, IV<br><br> C: III, IV<br><br> D: II, III
gulaghasi [49]

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

4 0
2 years ago
Other questions:
  • Find the slope of the line containing the points (5, -1) and (-8, -4).
    9·2 answers
  • Multiplying mixed numbers<br>2×5 1/2=
    7·2 answers
  • I'm confused! Given: f(x) = x 2 + 2x + 1, find f(x + h) and simplify. is that the derivative formula? what should I do?
    12·1 answer
  • Why is a slope of 20/7 not correct for this graph?
    9·1 answer
  • Can you help me please with number five
    9·1 answer
  • Jayden painted 1/6 of a wall in 2/3 hour. At this rate , how many hours will it take Jayden to paint the wall.
    8·1 answer
  • The absolute value of a number is​
    6·2 answers
  • If a shape has 4 right angles, then it is a rectangle.
    11·2 answers
  • A Fulcrum of a Pyramid is 6cm Square at the
    10·1 answer
  • Why are 7 and 2 like terms? help please!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!