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

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

Answer 2

What do you think @DebbieG ?

Answer 3

First you need to isolate the absolute value expressions. When you do that, you can easily see which one has NO solution, because absolute value (which is really "distance from 0") if an expression can NEVER be negative (after all - it's distance, and distance is always positive).

Answer 4

For the other one, where you will have:

|{something}|= a number that is positive

... you know that it will have solutions, so you just have to solve the absolute value equation.

Answer 5

Just solve it as we discussed here:
http://openstudy.com/users/debbieg#/updates/52419448e4b09001541834b2

Answer 6

Of course, it's a multiple choice question, so you can find the correct answer just by plugging in the choices and checking to see which is true. But, I think you will learn more if you approach it as if you did not have answer choices there, and just try to solve each of the equations. :)

Answer 7

Alright, I'll try my best . . .

Answer 8

I got 4, 7 on the last equation.