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
Andreyy89
3 years ago
12

Solve the following system of equations algebraically: 4x - 5y = 18 3x – 2y = 10

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

You might be interested in
the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room​
Lina20 [59]

Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.

Given:

Perimeter of the floor of a room = 18 metre

Height of the room = 3 metre

To find:

The area of 4 walls of the room.

Solution:

We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.

The curved surface area of the cuboid is

C.S.A.=2h(l+b)

Where, h is height, l is length and b is breadth.

Perimeter of the rectangular base is 2(l+b). So,

C.S.A.=\text{Perimeter of the base} \times h

Putting the given values, we get

C.S.A.=18\times 3

C.S.A.=54

Therefore, the area of 4 walls of the room is 54 sq. metres.

7 0
3 years ago
Does the order in which you add two integers with the same sign affect the sum
andrey2020 [161]
 when you add two negatives its just like regular number, -3+-5=-8 same as 3+5=8
8 0
3 years ago
Read 2 more answers
Please answer me fast plz ​
yulyashka [42]

Answer:

find the classmark of each interval

  • forexample
  • (140+150)/2
  • (150+160)/2

do the same up to (190+200)/2

then

draw a graph by using frequently (number of weeks) on y-axis against classmark on x-axis

7 0
3 years ago
5^-1 = blank * 5^4 find the missing factor
skad [1K]

Answer:

1/3125 or, 5^-5

Step-by-step explanation:

5^-1 = blank * 5^4

1/5/625= blank   or,     5^-1/5^4=blank

blank=1/3125               5^-5=blank

4 0
2 years ago
What is the simplified form of the following expression?
Amanda [17]
You have sqrt(8), sqrt(18), and sqrt(2).
You need to simplify the radicals.
sqrt(2) is already simplified.
For both sqrt(8) and sqrt(18), you need to factor out the greatest perfect square.

8 = 4 * 2
You can take the square root of 4 and put it outside the root.

18 = 9 * 2
You can take the square root of 9 and put it outside the root.

5 \sqrt{8} - \sqrt{18} -2 \sqrt{2} =

= 5 \sqrt{4 \times 2} - \sqrt{9 \times 2} -2 \sqrt{2}

= 5 \times 2\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 10\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 5\sqrt{2}
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the best estimate for the product of 289 and 7
    15·2 answers
  • The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x
    8·2 answers
  • Use truth tables to show that the following statements are logically equivalent. ∼ P ⇔ Q = (P ⇒∼ Q)∧(∼ Q ⇒ P)
    12·1 answer
  • A rectangular soccer field may have a width between 50 and 100 yards and a length
    15·2 answers
  • Hi ansswer for this quick i will mark u as brainlest
    15·1 answer
  • Plz help me this is a final!!!
    10·1 answer
  • Pls help I’m failing I’ll brainlest
    11·1 answer
  • PLEASE HELP!!!! The problem is in the photo below.
    14·1 answer
  • Solve (x + y +2)(y + 1)
    8·2 answers
  • suppose we want to choose 5 letters, without replacement, from 13 distinct letters. (a) how many ways can this be done, if the o
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!