Step-by-step explanation:
Since varies directly as
we can write the relation as
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
b) The equation relation x and y can be written as
c) When y = 9,
The system of equations have 2 solutions
<h3>How to determine the number of solutions?</h3>The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
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