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gregori [183]
3 years ago
13

Please help

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

im 12!! how do you do this

Step-by-step explanation:

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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).
Aliun [14]

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

6 0
2 years ago
8x - 3(5 + 9x what's the simplified algebraic expression p​
Mashcka [7]

=8x + (-3) (5) + (-3) (9x)

=8x + -15 + -27x

=8x + -15 + -27x

(8x + -27x) + (-15)

19x +-15

19x -15

4 0
3 years ago
What is the whole number 11 minus the number 3 4/12 show your work
olga2289 [7]

1.) 11 - 3 4/12

2.) 11 - 3 1/3    

3.) 11/1  - 3 1/3

4.) 33/3 -  10/3  

5.) 23/3 or 7.7 or 7 2/3 is your answer, depending on how you want it

7 0
3 years ago
Read 2 more answers
Guadalupe can do a job in 15 hours. If she works with lan, together they can get the job done in 10 hours. How long would it tak
krok68 [10]

Answer:

30 hours

Step-by-step explanation:

The equation we use is 1/15 + 1/x = 1/10. X being the amount of time it takes Ian alone. X works out to 30 hours which is the answer

7 0
2 years ago
What is the factored form of 4x2 + 12x + 5? A. (2x + 4)(2x + 3) B. (4x + 5)(x + 1) C. (2x + 1)(2x + 5) D. (4x + 1)(x + 5)
Ivanshal [37]
4x^2 + 12x + 5 =
(2x + 1)(2x + 5)
6 0
3 years ago
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