Question

Plzz help solve the given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction or neither.

2x+4 (x-1) = 2+4x

Answer 1

Answers:

x = 3

One solution

Identity

Explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

Step 1: Use distributive property to remove parentheses

2x + 4x - 4 = 2 + 4x

Step 2: Add like terms

6x - 4 = 2 + 4x

Step 3: Subtract 4x

We need all variables on one side to solve, so subtract 4x from both sides.

2x - 4 = 2

Step 4: Add 4

2x = 6

Step 5: Divide by 2

x = 3

Step 6: Check

2(3) + 4(3) - 4 = 2 + 4(3)

6 + 12 - 4 = 2 + 12

14 = 14 ✔

Step 7: How many solutions?

The given equation has only one solution.

Step 8: Identity, a contradiction or neither?

The given equation is an identity.

Step 9: Answers

x = 3

One solution

Identity

I'm always happy to help :)