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
STatiana [176]
2 years ago
15

Solve by elimination 7x+7y=-7 -10x-7y=28

Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

x = -7

y = 6

Step-by-step explanation:

7x + 7y = -7  ------------------(I)

-10x - 7y = 28 ----------------(II)

Add both the equation and so y will be eliminated and we can find the value of x

(I)           7x + 7y = -7

(II)        <u>-10x - 7y = 28 </u> {Now add}

            -3x         = 21              {Divide both sides by (-3)}

                      x = 21/-3

x = -7

Plugin x = -7 in equation (I)

7*(-7) + 7y = -7

-49   + 7y = -7

           7y = -7 + 49

           7y = 42

             y = 42/7

y = 6

                 

Zarrin [17]2 years ago
7 0

Answer:

x = - 7, y = 6

Step-by-step explanation:

7x + 7y = - 7 -----> equation 1

- 10x - 7y = 28 -----> equation 2

Add equations 1 & 2,

7x + 7y = - 7

- 10x - 7y = 28

___________

- 3x + 0 = 21

- 3x = 21

x = 21 / - 3

x = - 7

Substitute x = - 7 in equation 1,

7x + 7y = - 7

7y + 7x = - 7

7y + 7 ( - 7 ) = - 7

7y - 49 = - 7

7y = - 7 + 49

7y = 42

y = 42 / 7

y = 6

You might be interested in
A, B and C are points on a circle with a diameter AB
Tamiku [17]

Answer:

36.575

Step-by-step explanation:

you need to find line ab you can do A^{2} +B^{2} =C^{2}  for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English

3 0
2 years ago
Find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4) ​
Mandarinka [93]

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

7 0
3 years ago
Which coordinate pair represents the reflection of (-4,6)
insens350 [35]
The answer is C because when it reflects the 4 stays negative and the 6 because negative because it reflected on the negative side

Hope this helped! :))
4 0
3 years ago
What are the solutions to this system of equations?
saveliy_v [14]

Answer:

A

Step-by-step explanation:

The solution is at the points of intersections of the graphs

The graphs intersect at (- 3, 0 ) and (2, 5 )  , then

solutions are (- 3, 0 ) and (2, 5 )

4 0
2 years ago
WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
Other questions:
  • The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m
    5·1 answer
  • The slope of a line that is parallel to each line whose equation is given
    8·1 answer
  • A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the b
    5·2 answers
  • Find m∠C to the nearest degree for triangle ABC shown below.
    5·1 answer
  • 6 ÷ 3 + 32 · 4 − 2 A. 36 B. 98 C. 22 D. 42
    5·1 answer
  • If y varies directly with x, and x=21 and y=14, what is the equation that represents this variation?
    9·1 answer
  • What's the answer. ​
    10·1 answer
  • Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and
    14·1 answer
  • 10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
    13·1 answer
  • A flood a creek's water level changes by −4 7/10 feet in 2 hours. What is the average change in the creek's water level per hour
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!