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
monitta
3 years ago
13

Use elimination method to solve 5x+y=-10 7x-3y=-36

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
5x+y=-10\\ \\ 7x-3y=-36

Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)

3\cdot (5x+y)=3\cdot -10\\ \\ 15x+3y=-30

Now let's add this new equation and our second equation.

7x-3y=-36\\ \\ 15x+3y=-30\\ \\ (15x+3y)+(7x-3y)=(-30)+(-36)\\ \\ 15x+7x+3y-3y=-30-36\\ \\ 22x=-66\\ \\ x=\frac { -66 }{ 22 } \\ \\ x=-3

We found x=-3

Now let's plug x's value in one of the equations to find y's value.

x=-3\\ \\ 5x+y=-10\\ \\ 5\cdot -3+y=-10\\ \\ -15+y=-10\\ \\ y=-10+15\\ \\ y=5

So we found y=5

Solution ;

(-3, 5)

You might be interested in
A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Strike441 [17]
As there are 81 tiles total, that makes your area 81. Being a square, that makes your area equation A=s^2. As you need a side, this makes your equation s=√A. Plugging in 81 as A, we get s=√81=9, so an edge has 9 tiles.
4 0
3 years ago
I need help for number 53
Monica [59]
You are correct. The answer is D 5:3
4 0
3 years ago
Read 2 more answers
Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. if tyra typically works 45 h
Debora [2.8K]
She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:

21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.

Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.

She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:

5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.

Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together

40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.

856 + 160.5 = 1016.5.

Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.

Hope this helps, let me know if you need anything else! :)
7 0
3 years ago
Read 2 more answers
f a bag contains 10 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of blue balloons to all balloo
pantera1 [17]
1 to 2 1:2 1/2 this should help you!
3 0
3 years ago
Read 2 more answers
I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak
Alecsey [184]

Answer:

18.2 cubic meters.

Step-by-step explanation:

From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.

The volume would be:

V = height * width * length

According to the statement height = 2, width = 2 and length = 3.25

V = 2 * 2 * 3.25

V = 13

That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:

V = 2.8 * 2 * 3.25

V = 18.2

That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.

6 0
3 years ago
Other questions:
  • G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.
    12·1 answer
  • Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the l
    10·2 answers
  • How can you use 4s facts to find 7x8? Give the product in your explanation
    15·2 answers
  • How many solutions does this equation have? 4x+(-3x+2)=2x+5-2
    8·1 answer
  • Ms. Dantes baked some brownies. She sliced the brownies into four rows of four brownies. Then she cut half of the brownies in tw
    9·2 answers
  • 16 - x = -2 solve for x
    8·1 answer
  • What if it was for 20 months
    6·1 answer
  • What is the slope of the following equation? y = -x + 3​
    11·1 answer
  • Select the correct answer.<br> Which statement is true?
    9·1 answer
  • A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!