Question

How many solutions can be found for the linear equation?

3(x + 4) = 3x + 4

A) no solution
B) one solution
C) two solutions
D) infinite many solutions

Answer 1

a

Explanation:

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Answer 2

We are given equation : 3(x + 4) = 3x + 4.

We need to find the number of solutions for the given equation.

Let us solve the equation to get the number of solutions of the given equation.

3(x + 4) = 3x + 4

First step is to distribute 3 over (x+4) to remove the parenthesis.

We get

3x+12 = 3x +4.

Now, we need to get rid 3x from right side.

Subtracting 3x form both sides, we get

3x-3x+12 = 3x-3x +4.

12 = 4

But we can see that 12 =4 is not true.

So, there would not be any solution of the given equation.

Therefore, correct option is A) no solution .