Question

10. Write a third system of equations that is equivalent to the system,

{ y = ²√x + 5
y=-²/x + ²

Answer 1

To write a third system of equations equivalent to the given system, we isolate variables and square both sides of equations.

Step-by-step explanation:

To write a third system of equations that is equivalent to the given system of equations { y = sqrt(x) + 5, y = -2/x + 2}, we can start by isolating the variables in each equation. We can rewrite the first equation as y - 5 = sqrt(x) and the second equation as y - 2 = -2/x. By squaring both sides of these equations, we can generate a new system of equations that is equivalent to the original system:

1. (y - 5)^2 = sqrt(x)^2
2. (y - 2)^2 = (-2/x)^2

Simplifying these equations will lead to the third system of equations that is equivalent to the given system.

Learn more about Equivalent Systems of Equations