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
DO THESE ON A PIECE OF PAPER! PLEASE HELP! QUICK!!DO ALL OF THEM!!!
bogdanovich [222]

Answer:

i cant sseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

the picture

6 0
3 years ago
Read 2 more answers
Which best describes the expression b(4-n)
Maru [420]

Answer:

4b-bn

Step-by-step explanation:

3 0
2 years ago
We want to determine which point is closer to the origin: M (1, -3) or N (7, 9)
Neporo4naja [7]

Answer: M(1, -3)

Step-by-step explanation: Put coordinates on graph

3 0
2 years ago
Two-order systems may be solved by subtraction. True False
sammy [17]

This is True

answered false got it wrong

6 0
3 years ago
Can someone explain how to do this please
IrinaVladis [17]

Answer:

yes

Step-by-step explanation:

65 divided by 6.25 =10.4

67 - 10.4 =56.6

brailiest please

4 0
2 years ago
Other questions:
  • Lloyd is arranging his science project, math project, and art project on his desk. The tree diagram below shows the sample space
    15·2 answers
  • PLEASE ANSWER CORRECTLY!!!!!!!!!!!!!!NEED AS SOON AS POSSIBLE
    6·1 answer
  • For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish
    15·1 answer
  • What is the solution to the system of equations below
    13·1 answer
  • What is 12.5 times 0.74 and can you please put an explanation on how to get it please
    7·2 answers
  • One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which
    15·1 answer
  • 1/2% of 412<br> with work
    5·2 answers
  • -12x+3y=24<br> 1) y= -4x + 8<br> 2) y= 4x - 8<br> 3) y= 4x + 8<br> 4) y = -4x -8
    14·2 answers
  • 3^x=1÷3. Write down the value of x​
    9·2 answers
  • Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!