Question

The table below shows two equations:

Equation 1 |4x – 3|− 5 = 4
Equation 2 |2x + 3| + 8 = 3


Which statement is true about the solution to the two equations?
Equation 1 and equation 2 have no solutions.

Equation 1 has no solution and equation 2 has solutions x = -4, 1.

The solutions to equation 1 are x = 3, -1.5 and equation 2 has no solution.

The solutions to equation 1 are x = 3, -1.5 and equation 2 has solutions x = -4, 1.

Answer 1

how about you go an try to solve the problem first?

Answer 2

@nincompoop wow!!! i never thought of that!! thanks for all ur help buddy!! not like i posted it bc i didnt understand it or anything!! :))))

Answer 3

well I'd like to see you try so I know where's the lack of understanding is coming from :)

Answer 4

@nincompoop I'm confused where some answer options offer two numbers. like for example "equation 2 has solutions x = -4, 1". How can x be -4 AND 1?

Answer 5

when dealing with an absolute value, there are always two answers
|-x| = x
|x| = x
therefore, x = -x and x

Answer 6

@nincompoop ok, i'm taking a pre-test for a chapter i've never learned yet, so I know little to nothing about this chapter.

Answer 7

should I put up some other examples to elaborate the concept?

Answer 8

yes, pleeeeeeeease. :3

Answer 9

it's simply as dealing with any other equation or inequalities, you always isolate the variables that you are trying to solve. with absolute values however, you end up with two answers.