Math Problem Statement

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 3 3x + y = −5

one and only one solution infinitely many solutions
no solution

Find the solution using elimination, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.)

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Systems of Equations
Elimination Method

Formulas

Equation 1: 2x - y = 3
Equation 2: 3x + y = -5

Theorems

Unique Solution for Systems of Linear Equations

Suitable Grade Level

Grades 8-10