Question

Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answer 1

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

Answer 2

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

• 2x - 4 = 2(x - 2)

Open brackets

• 2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

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