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
labwork [276]
2 years ago
8

Solve these simultaneous equations:

Mathematics
1 answer:
ivolga24 [154]2 years ago
4 0

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

You might be interested in
Identify any restrictions on the variable.
Wittaler [7]

Answer:

x=mc2 + 86

Step-by-step explanation:

4 0
2 years ago
13. One kilogram is equal to 1,000 grams.
Ilya [14]

Answer:

I'm pretty sure it's 0.257!

Step-by-step explanation:

Sorry if I got it wrong I'm trying my best hope you have a great day!!

6 0
3 years ago
Read 2 more answers
45% of what distance is 135 miles
horrorfan [7]
300 miles. Hope it helps
8 0
3 years ago
Read 2 more answers
How do i ask a question in hot questions?
Tcecarenko [31]
Hello!

You can't make one of your questions a "Hot Question"

I Think that the Moderators are the Ones who pick a certain question from certain subjects depending on what they're about.

So yeah, the only thing you can do is post a question and hopefully, leave it in the hands of the Moderators to do the work.

Hope this Helps! :)
4 0
3 years ago
Find the volume of a right circular cone that has a height of 17.5 ft and a base with a diameter of 6.1 ft. Round your answer to
julia-pushkina [17]
Answer:
volume of cone = 170.5 ft³

Explanation:
The volume of the right circular cone can be calculated as follows:
volume = \frac{1}{3} * \pi *r^2 *h

We are given that:
diameter = 6.1 ft.......> This means that: radius (r) = 6.1 / 2 = 3.05 ft
height (h) = 17.5 ft

Substitute with the givens in the above equation to get the volume as follows:
volume = \frac{1}{3} * \pi *(3.05)^2*17.5

volume = 170.477 which is approximately 170.5 ft³

Hope this helps :)

6 0
3 years ago
Other questions:
  • √24 rational or irrational
    10·2 answers
  • The Pacific Ocean covers about 46% of earth. If P represents the surface area of the Pacific Ocean and E represents the surface
    10·1 answer
  • Solve: 6x - 8 -2x = -16 *<br> 1 point<br> x = 2<br> x = 1<br> x = -2<br> x = -1
    7·2 answers
  • Please help me out !!!!
    13·1 answer
  • I need help finding the range​
    9·2 answers
  • The table shows the pricing for four different brands of cat food.
    8·2 answers
  • I really need this .
    12·1 answer
  • The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.
    14·1 answer
  • The length of a rectangular field is 24 meters this is 3 meters less than twice the width find the width
    11·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!