What are the solutions to the system of equations? x2 + y2 = 5 y = 2x.

Mathematics

2 answers:

Gnesinka [82]4 years ago

6 0

<h2>Answer:</h2><h2>(1, 2) and (- 1, - 2)</h2>

Therse is no stoep-bry-sterp explanyation :(

could you read the two sentences in one? ;)

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Are you still there?

You are very patient :)

Okay okay, you have waited long enough.

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Answer:

1st sentence, "There is no step-by-step explanation :(

2nd sentence, "sorry"

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Colt1911 [192]4 years ago

4 0

Answer:

(1, 2) and (- 1, - 2)

Step-by-step explanation:

Given the 2 equations

x² + y² = 5 → (1)

y = 2x → (2)

Substitute y = 2x into (1)

x² + (2x)² = 5, that is

x² + 4x² = 5

5x² = 5 ( divide both sides by 5 )

x² = 1 ( take the square root of both sides )

x = ± $\sqrt{1}$ = ± 1

Substitute these values into (2) for corresponding values of y

x = 1 → y = 2(1) = 2 ⇒ (1, 2)

x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)