Math Problem Statement

3 x 13x1 minus− x 2x2 equals= negative 8−8 2 x 12x1 minus− 4 x 24x2 equals= negative 2−2 Question content area bottom Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The unique solution is x 1 equalsx1=enter your response here and x 2 equalsx2=enter your response here. B. The system has infinitely many solutions. The solution is x 1 equalsx1=enter your response here and x 2x2equals=t. ​(Simplify your answer. Type an expression using t as the​ variable.) C. There is no solution.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Systems of Equations
Elimination Method

Formulas

Elimination Method: ax1 + bx2 = c
Linear Equation: ax + by = c

Theorems

Unique Solution Theorem: A system of two linear equations has a unique solution if the lines intersect at one point.
No Solution: Parallel lines never intersect, indicating no solution.

Suitable Grade Level

Grades 9-10