Math Problem Statement

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.

Which of Jubal’s equations has no solution?

Solution

It seems you're asking about how to identify which of Jubal's four equations has no solution, but the specific equations weren't provided. I can guide you through the general process to determine if an equation has no solution.

Process to Identify an Equation with No Solution

  1. Simplify Both Sides of the Equation: Start by simplifying both sides of the equation as much as possible by combining like terms and applying any necessary operations (e.g., distributing or factoring).

  2. Move All Variable Terms to One Side: Subtract or add the variable term on both sides so that all variables are on one side of the equation and constants on the other.

  3. Look for a Contradiction:

    • After moving the variable terms to one side, if you are left with an equation where the variables cancel out and you're left with a statement that is false (e.g., 5=35 = 3), then the equation has no solution.
    • If you end up with a true statement (e.g., 0=00 = 0), the equation has infinitely many solutions.
    • If you still have a variable term, then it usually means the equation has one solution.

Example:

Let's analyze a few hypothetical equations:

  1. Equation 1: 2x+5=2x+72x + 5 = 2x + 7
    • Subtract 2x2x from

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Math Problem Analysis

Mathematical Concepts

Equations
Solving Equations
No Solution Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8