## anonymous one year ago 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.

1. anonymous

I THINK THAT IT IS D?!

2. anonymous

Do you know the steps for solving absolute vale equations?

3. anonymous

No not really

4. anonymous

Ok.

5. anonymous

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

6. anonymous

also, absolute value can never get to be negative

7. anonymous

the answer has to be the third one

8. anonymous

just by deduction

9. anonymous

you don't even have to solve :)

10. anonymous

hope this helps

11. anonymous

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

12. anonymous

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

13. anonymous

ok.. thanks!!

14. anonymous

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?

15. anonymous

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.