Question

How many solutions does this equation have?

a+3+2a=-1+3a+4


a. Infinite Solutions

b. Two Solutions

c. No solution

d. One Solution

Answer 1

a. Infinite solutions.

Explanation:

Let's try solving it:

a + 3 + 2a = -1 + 3a + 4

Subtract 3a from both sides:

a + 2a - 3a + 3 = -1 + 4

3a - 3a + 3 = 3

3 = 3

So the original equation is an identity and there are infinite solutions.