Question

Which point represents an approximate solution to this system of equations?

y=1/x-3
y=3-x³

A.(1.5,1)
B.(1.5,-0.7)
C.(1.6,1.6)
D.(2.9,-22.8)
(multiple answers can be chosen)

Answer 1

The answer is D. (2.9,-22.8)

Answer 2

B.(1.5,-0.7)

D.(2.9,-22.8)

Explanation:

Given :
`y=(1)/(x-3)`

`y=3-x^3`

To Find: Which point represents an approximate solution to this system of equations?

Solution:

Plot the given lines on graph

Blue line represents
`y=(1)/(x-3)`

Green Line represents
`y=3-x^3`

Now the intersection point of these line ill provide the solution,

So, intersecting points are (1.5,-0.86) i.e. (1.5,-0.7) and (2.9,-22.8)

So, Option B and Option D represents an approximate solution to this system of equations.