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
never [62]
3 years ago
9

What is one of the solutions to the following system of equations?

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:

(8,-1)

Step-by-step explanation:

Given :   x^{2} +y^{2} =65

               x+y=7

To Find: solution of given system of equations.

Solution:

Equation a :   x^{2} +y^{2} =65

Equation b :  x+y=7

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

 x^{2} +(7-x)^{2} =65

x^{2} +49+x^{2}-14x =65

2x^{2} -14x =65-49

x^{2} -7x -8=0

x^{2} -8x+x -8=0

x(x-8)+1(x-8)=0

(x+1)(x-8)=0

⇒ x= -1 and x = 8

Now substitute values of x  in equation b to obtains values of y

⇒ x+y=7

for x = -1

⇒ -1+y=7

⇒ y=7+1

⇒ y=8

Thus (x,y)=(-1,8)

For x =8

⇒ 8+y=7

⇒ y=7-8

⇒ y=-1

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .


ElenaW [278]3 years ago
5 0
That would be A

check...(8,-1)
y^2 + x^2 = 65
-1^2 + 8^2 = 65
1 + 64 = 65
65 = 65 (correct)

y + x = 7....(8,-1)
-1 + 8 = 7
7 = 7 (correct)

You might be interested in
Determine the radius of a circle with a circumference of 14 pi inches ​
ipn [44]

Answer:

the radius is 7

Step-by-step explanation:

circumference is equal to pi(d)

you said it is 14pi

all you have to do is divide d by 2 to get r

7 0
3 years ago
I WILL GIVE BRAINLIEST!!! PZ HELP ASAP!!!
CaHeK987 [17]

Answer:

B

Root of 27 will be 9×3. Which will be 3 root 3

6 0
3 years ago
Read 2 more answers
a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an inital speed of 120 feet per second
Brrunno [24]

Answer:

An equation that correctly models the ball's height as a function of time is:

h (t) = - 16t ^ 2 + 130t + 2

Step-by-step explanation:

i hope this helps !

7 0
3 years ago
Read 2 more answers
Solve the equation. Check for extraneous solutions<br><br> please help!!!
lozanna [386]
!z!=a→z=a or z=-a; z=4x+3, a=9+2x

!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3

Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution 

2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2

Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution

Answer:
x = -2 or 3 
4 0
3 years ago
Which method can be used to solve - 3-5 = 15? PLEASE HELP!
zhenek [66]

Answer:

cross multiply

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A patient in the emergency room is monitored for heart​ rate, oxygenation​ level, etc. The nurse notices that the heart beat ave
    14·1 answer
  • amari is standing 50 feet from the base of a building. from where he stands, the angle formed from the top of the building to wh
    9·2 answers
  • P+7 – 5 = –10 – 3p<br><br> Step by step
    12·1 answer
  • What is the inverse of the function f(x) = x – 12?
    10·1 answer
  • Help? I dont remember what standard form is? is it y=mx+b or that something else? Pls explain how to solve this? Will mark brain
    15·1 answer
  • In △ABC, m∠A=72<br> °, c=61<br> , and m∠B=16<br> °. Find the perimeter of the triangle.
    9·1 answer
  • Combine these radicals.
    13·1 answer
  • What is the slope of the line?
    6·1 answer
  • Find the value of b.<br> A 57<br> B 50 <br> C 123<br> D 61.5
    6·1 answer
  • Equation <br> 3/8 + 5/12 =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!