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
marta [7]
3 years ago
12

Solve the simultaneous equations, 2x+4y = 1

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
For a solution to exist the x and y values must be equal at that point.

I'll solve both for y first (and there are other ways to do this of course)

2x+4y=1, 4y=1-2x, y=(1-2x)/4

3x-5y=7, -5y=7-3x, y=(3x-7)/5

Since y=y at the solution point we can say:

(1-2x)/4=(3x-7)/5  cross multiplying...

5-10x=12x-28

-22x=-33

x=3/2 or if you prefer 1.5, now we can solve for y using either origianl equation...

2(1.5)+4y=1

3+4y=1

4y=-2

y=-0.5

So the solution is the point (1.5, -0.5)
You might be interested in
The Neolithic Revolution
Amanda [17]

The Neolithic Revolution allowed people to live in permanent settlements.

<u>Explanation:</u>

The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.

This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).

Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).

6 0
3 years ago
Read 2 more answers
What is the expanded form 845,212
navik [9.2K]
845.212= 8*100.000+4*10.000+5*1.000+2*100+1*10+2
5 0
4 years ago
Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt
polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt

=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k

The first integral is trivial since (\tan t)'=\sec^2t.

The second can be done by substituting u=t^2-1:

u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C

The third can be found by integrating by parts:

u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t

\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8

\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C

8 0
4 years ago
PLEASEEE HURRY !!!
Morgarella [4.7K]

Answer:

b : $0.22 on edg.

Step-by-step explanation:

7 0
3 years ago
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati
ollegr [7]

Answer:

the answer is A ..............

8 0
2 years ago
Other questions:
  • Prove that if -5(x+4)=70, then x=-18
    8·1 answer
  • Which size bottle of ketchup is the best deal with the lowest unit price? Prices for Different Sizes of Bottles of Ketchup Size
    8·1 answer
  • 3/v=2/4? i need help plz
    6·2 answers
  • The interior angles of a regular polygon each measure 165∘165∘. how many sides does the polygon have?
    9·1 answer
  • William invested $2,300 in an account paying an interest rate of 2 1/8% compounded quarterly. Nolan invested $2,300 in an accoun
    13·2 answers
  • Place the following in least to greatest (photo for more)
    9·2 answers
  • Multiply.
    14·1 answer
  • Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate
    11·1 answer
  • Guys please help!!!!
    12·1 answer
  • Geometry questions....help me someone please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!