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
AlexFokin [52]
3 years ago
8

Without drawing the graphs, find the points of intersection of the lines: a 7x+4y=23 and 8x–10y=19

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

(3,0.5)

Step-by-step explanation:

The given system has equations:

7x + 4y = 23 \\ 8x - 10y = 19

Let us multiply the second equation by 4 and the first equation by 10.

70x + 40y = 230 \\ 32x - 40y = 76

We add both new equations to get:

102x = 306 \\ x =  \frac{306}{102}  = 3

Put x=3 into the first equation and solve for y.

7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\  y =  \frac{1}{2}

The point of intersection is the solution to the system of equation which is (3,0.5)

You might be interested in
18.There is no battery in this simulation. Move the magnet with the N pole toward the loops (coils) connected to the light bulb
astraxan [27]

Answer:

Step-by-step explanation:

Whenever a magnetic field linked to loop changes, the current is induced in the loop which sequentially opposes the cause of change in magnetic flux. So whenever the magnet moves towards and away from the loop then it causes the current to induce in the loop to oppose the change in magnetic flux by effectively creating a similar pole that is coming towards the loop.

For example, if the magnet north pole is coming towards loops then it effectively creates a north pole in front of the magnet.

So flow of current will glow the light bulb.

               

7 0
3 years ago
I need help solving this problem
densk [106]

Answer:

I think 12 but I gave it a shot

5 0
3 years ago
Stephen and five of his friends went out to eat. They decided to split the bil
kirill [66]

Hi

Stephen and his five friends = 6 people at the restaurant

Let's call X the amount of the bill.

so if       X/6 = 13.21

              X =  13.21 * 6

               X = 79.26

6 0
3 years ago
The graph of which function has a y-intercept of 3 ?
Dmitriy789 [7]
It will be whichever equation you see that has the "c" = +3, in the format:
F(x) = y = ax^2 + bx + c, where a, b, and c are all integers, such that plugging a "0" into the x's will give:
y = a•0^2 + b•0 + 3 = 0 + 0 + 3 = 3
6 0
4 years ago
Amanda and her four sisters divided 1,021 stickers equally how many did each girl receive
Gemiola [76]
1021 / 5 = 204.20.....each girl got 204 stickers.....with a remainder of 1 sticker
7 0
3 years ago
Other questions:
  • Given the following figure, what is the measure of angle B?
    7·1 answer
  • Which of the following sequences is correct? Multiple Choice hypothesis → theory → operational definition operational definition
    11·1 answer
  • Calculate the discriminant of the quadratic equation. <br><br>Please I really need your help <br>​
    6·1 answer
  • Jackie has a closet with 6 red dresses and 2 blue dresses. What is the likelihood of Jackie pulling a red dress out of the close
    5·2 answers
  • True or False? The derivative of sin(x) is cos(x).
    11·2 answers
  • Write the equation of this line in y= mx + b form
    6·1 answer
  • A flagpole cast a shadow 25ft, near by a person of 5.5ft casting a shadow of 7ft.
    10·2 answers
  • Write and exponential and a linear equation using the following points:<br> (0,9) and (1,10.8)
    8·2 answers
  • Hurry Yes Please Help I am handing A Brainlist
    13·1 answer
  • Toni is selling cookie dough and brownie mixes for her softball team's fundraiser. If brownie mixes are $2.00 each and cookie do
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!