salupe24
salupe24 salupe24
  • 04-06-2020
  • Mathematics
contestada

Find the solutions to the system of equations algebraically.
x2 + y2 = 25
y = -2x + 5

Respuesta :

TheUnknownScientist
TheUnknownScientist TheUnknownScientist
  • 04-06-2020

Answer:

x = 0 or x = 4

Step-by-step explanation:

x² + y² = 25 and y = -2x + 5

Here,

x² + y² = 25 ...(1)

Now,

Put the value of y = -2x + 5 in equation (1)

we get,

x² + (-2x + 5)² = 25

x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25

x² + {4x² - 20x + 25} = 25

x² + 4x² - 20x + 25 = 25

5x² - 20x = 25 - 25

5x² - 20x = 0

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0/5 or x = 4

x = 0 or x = 4

Answer Link
bl8tf bl8tf
  • 29-04-2021

Answer:

x = 0, x = 4

Step-by-step explanation:

I hope its helpful

Answer Link

Otras preguntas

The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?
The joint density function for a pair of random variables X and Y is given. f(x, y) = Cx(1 + y) if 0 ≤ x ≤ 4, 0 ≤ y ≤ 4 0 otherwise f(x,y) = 0 A) Find the value
PLEASE HELP!! (3/5) - 50 POINTS -
Knowledge Check 01 On December 31, 2019, Wintergreen, Inc., issued $150,000 of 7 percent, 10-year bonds at a discount of $10,125. The bonds pay interest semiann
whats the squareroot of 18
Passage 1"Big data" is becoming a buzz word of the 21st century. Technically, big data refers to a data set that is too large to analyze. Colloquially, big data
Can someone please help me with this question?
calculate 6/√2 and express it in form of a√b
What is the indirect object? A. any B. hot C. in
Classify the triangle.