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
Cerrena [4.2K]
2 years ago
9

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Mathematics
1 answer:
Aliun [14]2 years ago
6 0

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

\rm y^2 + x^2 = 53 \\\\y -x = 5

From equation 1

\rm  y -x=5\\\\y = 5+x

Substitute the value of y in equation 1

\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0     \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

You might be interested in
Which one is greater 5\16 or 5\8
mylen [45]

5/8 is greater than 5/16

Hope this helps

5 0
3 years ago
Read 2 more answers
Collin solved the inequality:
valentinak56 [21]

Step-by-step explanation:

collin is correct and incorrect at the same time. when you solve this, you start with adding like terms.

10x and -11x will be added together to be -1x, after we figure this out, we solve.

-1x+7<-20

-7       -7

-1x<-27

/-1   /-1

x<27

after you solve, you notice that x is less than 27. collin has the correct answer for solving the equation, but if were looking on a more technical note, he would be incorrect because he said the answer is 27, when the answer is actually less than 27. therefore, collin has solved the inequality correctly, but he has said the answer incorrectly

6 0
2 years ago
What is the coefficient of q in the sum of these two expressions? (23q – 34) and (–16q – r) NEED HELPPP
jeyben [28]

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

23q-34 and -16q-r.


The sum of the two expressions is


23q-34+-16q-r


When we group like terms the expression will be,


=23q-16q-r-34


When we  simplify the expression will now be


=7q-r-34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is  therefore 7.



5 0
3 years ago
I am 5 more than 6 times 10. What number am I?
Strike441 [17]

6 times 10 is 60. 60 plus 5 is 65.

7 0
3 years ago
Read 2 more answers
Which side lengths form a right triangle?
vampirchik [111]

Answer:

A and C

Step-by-step explanation:

<h3>A</h3>

=  \sqrt{ {5}^{2} + ( \sqrt{6})^{2}  }  \\  =  \sqrt{25 + 6}  \\  =  \sqrt{31}

<h3>C</h3>

=  \sqrt{ {9}^{2} +  {12}^{2}  }  \\  =  \sqrt{81 + 144}  \\  =  \sqrt{225}  \\  = 15

5 0
2 years ago
Read 2 more answers
Other questions:
  • Ribbon is sold at 3 yards for $6.33. Jackie bought 24 yards of ribbon for a project. How much did she pay?
    7·1 answer
  • Find the interquartile range for a data set having the five-number summary: 4.9, 12.4, 20.5, 28.8, 34.3
    8·1 answer
  • Can someone explain how to do these? You can just pick one of them...ignore my incorrect answers
    10·2 answers
  • What operations do I use
    12·1 answer
  • Question is 15 points
    6·1 answer
  • A pole that is 2.8 m tall casts a shadow that is 1 m long. At the same time, a nearby building casts a shadow that is 39.5 m lon
    12·1 answer
  • I need help! Thanks!
    8·1 answer
  • What type of transformation is shown mathematical experts or someone who’s taken the test please help!
    9·1 answer
  • Two angles of a triangle are 40 and 80 digress. Find the third angle.
    10·2 answers
  • Tell whether the given value is a solution of the inequality
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!