An Ellipse and a Line Consider the system of equations (a) Solve the equation for y in
Chapter 7, Problem 7.1.1.75(choose chapter or problem)
An Ellipse and a Line Consider the system of equations
\(\begin{array}{r} \frac{x^{2}}{4}+\frac{y^{2}}{9}=1 \\ x+y=1 \end{array}\).
(a) Solve the equation \(x^{2} / 4+y^{2} / 9=1\) for y in terms of x to determine the two implicit functions determined by the equation.
(b) Solve the system of equations graphically.
(c) Use substitution to confirm the solutions found in part (b).
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