Question

Noah solved an equation as shown below and found that the equation has infinitely many solutions.

Answer 1

ANSWER

A. Noah is correct because the two sides of the equation are equivalent expressions.

EXPLANATION

The equation given to Noah was

$-3(x + 4) + 2x = 2(x - 6) - 3x$

He expanded to get:

$-3x - 12 + 2x = 2x - 12 - 3x$

He then further simplified each side of the equation to get;

$-x - 12 = -x - 12$

Both sides of this equation are equivalent.

Therefore the equation has infinitely many solutions.

The correct answer is A

Answer 2

Answer:

Option A) Noah is correct because the two sides of the equation are equivalent expressions.

Step-by-step explanation:

We are given the following information in the question:

$-3(x + 4) + 2x = 2(x - 6) - 3x\\-3x - 12 + 2x = 2x - 12 - 3x\\-x - 12 = -x - 12$

The above equation has infinitely many solutions.

Infinite solution:

If an equation end up with equal values on each side of the equation, then there are infinite solution as for all the values of x the equations would be satisfied.

Noah is correct.

Option A) Noah is correct because the two sides of the equation are equivalent expressions.