Math Problem Statement

Just give anser

Use the elimination method to find all solutions of the system. Write the solution(s) as a list of ordered pairs. x^2 - 3y = -3 and x^2 + 2y = 17.

Solution

sympy import symbols, Eq, solve

Define variables

x, y = symbols('x y')

Define the system of equations

eq1 = Eq(x2 - 3*y, -3) eq2 = Eq(x2 + 2*y, 17)

Solve the system of equations

solutions = solve((eq1, eq2), (x, y)) solutionsThe solutions to the system of equations are:

(-3, 4) and (3, 4).

Let me know if you'd like to see the step-by-step process or have further questions!

Related Questions:

  1. How do you solve a system of equations using substitution?
  2. Can elimination be applied to systems involving quadratic terms?
  3. What are the properties of solutions to nonlinear systems?
  4. How can graphing be used to verify solutions of a system?
  5. Can a system involving quadratic equations have no solution?

Tip: Always double-check solutions by substituting them back into the original equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Nonlinear Equations
Quadratic Equations

Formulas

Elimination Method for Systems of Equations
Substitution in Nonlinear Systems

Theorems

Properties of Quadratic Equations
Equality of Polynomial Functions

Suitable Grade Level

Grades 9-12

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