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
Yanka [14]
3 years ago
5

Solve the following simultaneouse equation. 3x+y=1 and x²+y²=5​

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

x=2/5,      y=11/5

or x=−1y = 2

Step-by-step explanation:

Substitute y=3x+1 in x2+y2=5 to obtain

x2+(3x+1)2=5    ⇒    10x2+6x−4=0

Hence

5x2+3x−2=0    ⇒    5x2+5x−2x−2=0    ⇒5x(x+1)−2(x+1)= 0   ⇒ (5x−2)(x+1)=0

Hence

either

x=2/5, y=3×2/5+1=11/5

or x=−1, y=3×(−1) +1 = −2

You might be interested in
What is the sales tax of a $178.90 video game system is the tax rate is 3.75%
juin [17]
It would be: 178.90 * 3.75%
= 178.90 * 0.0375
= 6.71

In short, Sales tax would be $6.71

Hope this helps!
3 0
3 years ago
Multiply two and four-fifths negative five and two-thirds
Cerrena [4.2K]
The answer is -25/3.



If you need it simplified let me know.
4 0
3 years ago
What is the degree of the following polynomial: . 3x3 + 2x - 4
klio [65]

Answer:

3

Step-by-step explanation:

look for the greatest exponent

5 0
3 years ago
A medical researcher tested a new treatment for poison ivy against the traditional ointment. He concluded that the new treatment
OverLord2011 [107]

Answer:

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

Step-by-step explanation:

When we talk of a p-value, we are referring to a conditional probability. What it tells us is the probability of getting results which are at least as unusual as the observed statistics in a case where we are given that the null hypothesis is not false.

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

So what this means is that, in this case it is better that more data is collected to enable us know how effective the new treatment is

5 0
3 years ago
one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the secon
Romashka [77]

Answer:

42%

Step-by-step explanation:

x is for the volume of the  container

the amount filled in the first container=0.30x

the volume of the first container + 50% of the second=(x+x*50%)=1.5 x

the amount of acid in the second container= 1.5x * 50%=0.75x

total amount of acid in the third one =0.3x+0.75x=1.05x

total solution : x+1.5x=2.5x

percentage=1.05x/2.5x= 0.42 or 42%

4 0
4 years ago
Other questions:
  • B(n) = -1 (2)^n-1 What is the 5th term in the sequence?
    14·1 answer
  • Solve questions 1-10
    8·2 answers
  • I need help with this question
    6·1 answer
  • What is 6.02 rounded to tenth
    13·2 answers
  • NEED HELP What is the value of the expression below?<br> 2(5-3x4)<br> A.-14<br> B-2<br> C14<br> D16
    11·2 answers
  • Helppp w just the chart pls
    6·1 answer
  • Tell whether the lines through the given points are parallel, perpendicular, or neither. Explain.
    7·1 answer
  • In ΔUVW, the measure of ∠W=90°, the measure of ∠V=54°, and WU = 15 feet. Find the length of UV to the nearest tenth of a foot.
    5·1 answer
  • A, B &amp; C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 9.2. Calculate the length of AC rounded to 3 SF.
    11·1 answer
  • Consider the line y=-8x+7
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!