1. Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2. Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3. Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Question

Mathematics

Dashawn Atkins

12 August, 06:08

1. Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2. Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3. Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

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Answers (1)

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Kason Blevins · Answer 1

1. a single variable linear equation that has no solution

x + 4 = x + 5

x - x = 5 - 4

0 = 1 (which is false)

2. a single variable linear equation that has one solution

2x + 4 = x + 5

2x - x = 5 - 4

x = 1

3. a single variable linear equation that has infinitely many solutions

x + 4 - 1 = x + 3

x - x = 3 - 4 + 1

0 = 0 (identity)