Question

please HELP me i will medal and fan..
The table below shows two equations:


Equation 1 |3x − 1| + 7 = 2
Equation 2 |2x + 1| + 4 = 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 = 0, 1.
The solutions to equation 1 are x = −1.3, 2 and equation 2 has no solution.
The solutions to equation 1 are x = −1.3, 2 and equation 2 has solutions x = 0, 1.

Answer 1

I THINK THAT IT IS D?!

Answer 2

Do you know the steps for solving absolute vale equations?

Answer 3

No not really

Answer 4

Ok.

Answer 5

you set the absolute value side equal to the other side as a Case #1.
and set the absolute value side equal to the other side all times -1 as a Case #2

Answer 6

also, absolute value can never get to be negative

Answer 7

the answer has to be the third one

Answer 8

just by deduction

Answer 9

you don't even have to solve :)

Answer 10

hope this helps

Answer 11

Yes, but why is there no solution? there is always a solution

Answer 12

\[\left| -3 \right|= 3\]
so the \[\left| x \right|= 3\] means that x could be -3 or positive 3

Answer 13

ok.. thanks!!

Answer 14

to solve for absolute values you need to write it as a positive value as well as a negative value \[\left| 3x-1 \right|+7 =2\]can be re-written as
3x - 1 + 7 = 2, 3x = -4, x = -4/3 = -1.33

and

-(3x - 1) + 7 = 2 =
-3x + 1 + 7 =2
-3x +8 = 2
-3x = -6
x = 2

Does this make sense?

Answer 15

Try following the same steps for the second equation \[\left| 2x + 1 \right| + 4 = 3\]
If you post your work I'll help you through it.