Question

Can someone give me the answer please.

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

For the 2nd equation, add -8 to both sides
|2x + 3| + 8-8 = 3-8
and simplify. 8-8 is 0 and 3-8 is -5

|2x + 3| = -5

Now, what do you know about | | ? Do you know that it makes whatever is "inside" positive? In other words, the left side can *never be negative*
and that means no matter what "x" value you try, you will never get the left side to equal -5