Question

Which point is the solution to the system of equations below?y=5x⋅32x=y(2.23,5)(-2,-5)(2,5)(-2.23,5)

Answer 1

- The solution steps are given below:

`\begin{gathered} y=5 \\ √(x)*(3)/(2)x=y \\ \\ \text{ Combine both equations,} \\ √(x)*(3)/(2)x=5 \\ \\ \text{ Multiply both sides by }(2)/(3) \\ \\ x√(x)=5*(2)/(3) \\ \\ x√(x)=(10)/(3) \\ \\ \text{ The value of }x\text{ can be rewritten as }x=√(x^2) \\ \\ √(x^2)√(x)=(10)/(3) \\ \\ √(x^2* x)=√(x^3)=(10)/(3) \\ \\ Square\text{ both sides} \\ x^3=((10)/(3))^2 \\ \\ x^3=(100)/(9) \\ \\ \text{ Take the cube root of both sides} \\ x=\sqrt[3]{(100)/(9)} \\ \\ x=2.231443...\approx2.23 \end{gathered}`

Final Answer

The point is

`(2.23,5)`