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

Cael Anthony

Mathematics

2 November, 10:41

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

+2

Answers (1)

Know the Answer?

Keaton Branch · 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)