Question

2a+2=3(a+2)

Solve each equation and state whether the equation has one solution, no solution, or identity

Answer 1

Has one solution a= -4

Explanation:

First, 2a+2= 3*a+ 3*2, so 2a+2=3a+6, then substract the a, 2=a+6.

Finally substract the number, -4=a

Answer 2

Easy

Let's solve the equation step by step:

2a + 2 = 3(a + 2)

First, distribute the 3 on the right side:

2a + 2 = 3a + 6

Now, let's isolate 'a' on one side of the equation. We can do this by moving the '3a' term to the left side:

2a - 3a + 2 = 6

Now, combine like terms on the left side:

-1a + 2 = 6

Subtract 2 from both sides to isolate 'a':

-1a = 6 - 2

-1a = 4

Finally, divide both sides by -1 to find the value of 'a':

a = -4

So, the equation has one solution, which is a = -4.