Question

Write an equation that has the given number of solutions.

A. No solution


B. infinitely many solution

Answer 1

A) x+5=x+3

B) x+5=5+x

Explanation:

A) If an equation has no solutions then when it is algebraically solved it will be an untrue statement.

For example, x+5=x+3. To solve subtract x from both sides. This becomes 5=3, which is not a true statement. Therefore, there are no solutions.

B) If an equation has infinite solutions then when it is algebraically solved it will be a statement that is always true.

For example, x+5=5+x. To solve first subtract x from both sides. This equals 5=5, which is always true. Therefore, there are infinite solutions.