mc5594064 mc5594064
  • 11-05-2021
  • Mathematics
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Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5

Solve the following system of equations algebraically y x2 10x 15 y 2x 5 class=

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Аноним Аноним
  • 11-05-2021

Answer:

(2, -1)

(10, 15)

Step-by-step explanation:

Subtract the second equation from the first

  y = x² – 10x + 15

- (y =           2x – 5)

————————————

 0 = x² - 12x + 20

Factor

(x  - 2)(x - 10) = 0

x = {2, 10}

-------------------

For x = 2

y = 2(2) - 5

y = -1

Solution 1

(2, -1)

----------------------

For x = 10

y = 2(10) - 5

y = 15

Solution 2

(10, 15)

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