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
Gnesinka [82]
3 years ago
7

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

 ⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

 ⇒x= (-8+8)/ 3

 ⇒x= 0/ 3

 

⇒x=0

∴x=0  and  y= -2

You might be interested in
How do I show my work on this answer
Archy [21]
3.02*6.10 will give you the answer quite simple
7 0
3 years ago
7HELP________________
tatuchka [14]

Answer:

The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS ⇒ C

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ  

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse  

 leg of the 2nd right angle Δ

* Lets solve the problem

- In the 2 triangles ABD , CBD

∵ AB = CB

∵ BD is a common side in the two triangles

- If AD = CD

∴ Δ ABD ≅ Δ CBD ⇒ SSS

- If BD bisects ∠ABC

∴ m∠ABD = m∠CBD

∴ Δ ABD ≅ Δ CBD ⇒ SAS

- If ∠A = ∠C

∴ Δ ABD not congruent to Δ CBD by SAS because ∠A and ∠C

  not included between the congruent sides

* The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS

5 0
3 years ago
BRAINLLEST HELPPPPPPPPPPPPPPPPPPPPPP
Verizon [17]

Answer:

1200cm

Step-by-step explanation: this is the suface area:)

6 0
3 years ago
Read 2 more answers
3. A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4
antoniya [11.8K]

Answer:

2 hr and 58 min

Step-by-step explanation:

8 0
3 years ago
Let F (x; y) = xy2i + x2y j. Evaluate ∫F.ds (from c to [infinity]) where C is the upper half of the circle of radius 1 centered
77julia77 [94]

Answer:

The integral \int F \bullets ds is 0.

Step-by-step explanation:

A parameterization of curve C can be:

X (t) = cost 0 <= t <= pi

Y (t) = sint 0 <= t <= pi

r (t) = costi + sintj

r '(t) = -sinti + costj

Fds = [-costsin^3t + sintcos^3t] dt

The integral \int F \bullets ds is given by:

\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt

= \int _0^{\pi }-sin ^3tcostdt + \int _0^{\pi }sintcos^3tdt = 0

4 0
3 years ago
Other questions:
  • A group of boys picked 216 boxes of oranges. each box contained 120 oranges.how many oranges did they pick?
    12·1 answer
  • 3.5x + 3 - 4.9x = 4(0.4x + 3)<br><br><br> PLEASE HELP, WITH STEPS TOO
    12·2 answers
  • 240 fluid ounces = ____ cups
    5·1 answer
  • Choose 3/8 written as a decimal
    8·2 answers
  • A prism with a square base has a height of 15cm and a volume of 735cm3. Find the length of each edge of the base.
    7·1 answer
  • Choose the function that the graph represents.
    12·1 answer
  • Help? which one is it
    13·1 answer
  • James wants to compete in the international speed texting competition next year where participants compete on text speed and acc
    8·1 answer
  • Find the missing sides of the triangle. Leave your answers in simplest radical form. Please help!
    12·1 answer
  • En una bandeja, hay 375 pasteles. Si quitásemos 59 pasteles de otra bandeja, en ambas habría igual número de pasteles.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!