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
Tresset [83]
2 years ago
14

What is the solution to the system of linear equations? 2x+4y=38 10x+3y=105

Mathematics
2 answers:
tamaranim1 [39]2 years ago
6 0
Hello :
<span>2x+4y=38  ...(1)
10x+3y=105....(2)
-10x-20y = - 190
10x+3y =105 
add : -17y = - 85
y = 5
subsct in (1) : 2x +20  =38
2x = 18
x=9

</span>
Mumz [18]2 years ago
5 0

Answer:  The required solution is (x, y) = (9, 5).

Step-by-step explanation:  We are given to find the solution of the following system of linear equations :

2x+4y=38~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\10x+3y=105~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 5, we have

5(2x+4y)=5\times38\\\\\Rightarrow 10x+20y=190~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Subtracting equation (ii) from equation (iii), we get

(10x+20y)-(10x+3y)=190-105\\\\\Rightarrow 17y=85\\\\\Rightarrow y=\dfrac{85}{17}\\\\\Rightarrow y=5.

Substituting the value of y in equation (i), we get

2x+4\times5=38\\\\\Rightarrow 2x+20=38\\\\\Rightarrow 2x=38-20\\\\\Rightarrow 2x=18\\\\\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9.

Thus, the required solution is (x, y) = (9, 5).

You might be interested in
Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 unit
nikdorinn [45]

Answer:

1 < x < 7.5

Step-by-step explanation:

This problem can be solved using given below property of triangle.

Sum of two sides is always greater than third side of triangle.

Difference of two sides is always lesser than third side of triangle.

_______________________________________________

Given

sides length

6.5 units

3.5 units

Third side is 2.5 +  x

using the property, Sum of two sides is always greater than third side of triangle.

6.5 + 3.5 > 2.5 +x

=>10 >2.5 + x

=>2.5 + x< 10

=> x< 10 -2.5

=> x < 7.5

using the property, Difference of two sides is always lesser than third side of triangle.

6.5 - 3.5 >  2.5 +x

=>3.5 >  2.5 +x

=> 2.5 +x  > 3.5

=> x  > 3.5 - 2.5

=> x  > 1

combining both we have

1 < x < 7.5

out of the given option none is 1 < x < 7.5

hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.

8 0
2 years ago
Read 2 more answers
[X + y] + 3w? Helpppppp
lana [24]

Answer:

x+y+3w

Step-by-step explanation:

7 0
3 years ago
What can you learn from the Nutrition Facts panel on a packaged food item?
salantis [7]
B is the correct answer.

8 0
2 years ago
Read 2 more answers
Solve: -3/4x - 8 + 5/4x - 4 = 9 x=?​
ExtremeBDS [4]

Answer: x=42

Step-by-step explanation: In the picture

8 0
3 years ago
13. Higher Order Thinking Kyra has a rock collection. When she puts her rocks into 2 equal piles, there are no rocks left over.
taurus [48]

12rocks 6 in each 2 equal piles 4 in each 3 equal piles  And 3 in each 4 equal piles

8 0
3 years ago
Other questions:
  • Round the number plz
    10·1 answer
  • X-1/7&gt;1/8 Solve using the addition principle.
    5·1 answer
  • f military time is 0145, what time is it on a regular clock? A. 12:45 P.M. B. 1:45 P.M. C. 1:45 A.M. D. 12:45 A.M.
    11·1 answer
  • Find the percent.<br><br> 9 is what percent of 16?
    15·2 answers
  • The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?
    5·2 answers
  • Convert the proportion fraction401/2*32/3
    7·1 answer
  • A truck rental company rents a truck for a one-time fee of $25 plus $1.50
    13·1 answer
  • The Jackson family drove 496 miles in 8 hours. which is the unit rate in fraction form
    11·2 answers
  • Drag the correct statements and reasons into the proof boxes below.
    11·1 answer
  • 3850 times a 1.3% interest rate for 6 years
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!