CharlesNicholson
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Please help:

What are the solutions to the system of equations?

x^2 + y^2 = 5
y = 2x

The solution with the smaller x value is (?)
The solution with the larger x value is (?)

Sagot :

Answer:

Smaller x value = -1 and y = -2.

Larger x value =  1 and y = 2.

Step-by-Step explanation:

x^2 + y^2 = 5

y = 2x

Substitute y = 2x into the first equation:

x^2 + (2x)^2 = 5

x^2 + 4x^2 = 5

5x^2 = 5

x^2 = 1

x = ±1

So y = 2 *  ±1 =  ±2

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

x² + 4x² = 5

5x² = 5 ( divide both sides by 5 )

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

x = ± [tex]\sqrt{1}[/tex] = ± 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 )

The solution with smaller x- value is (- 1, - 2 )

The solution with the larger x value is (1, 2 )

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.