Question

Will give medal. c:
Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1 Equation 2
|5x + 6| = 41 |2x + 13| = 28

Answer 1

Go ahead and solve each equation separately.
When using absolute bars, you can get rid of it as follows:
If |A| = B it means either A = B or A = -B

|5x + 6| = 41 means:
5x + 6 = 41 or 5x + 6 = -41
solve each separately.

Answer 2

5x + 6 = 41
- 6 - 6
5x= 35
5x/5 = 35/5
x=7

5x + 6 = -41
- 6 - 6
5x = -35
5x/5= -35/5
x= -7

is this right?

Answer 3

The first one is correct...
The 2nd one is set up like this...
-(5x + 6) = 41
-5x - 6 = 41
-5x = 41 + 6
-5x = 47
x = -47/5
=============
| 2x + 13 | = 28

2x + 13 = 28
2x = 28 - 13
2x = 15
x = 7.5

-(2x + 13) = 28
-2x - 13 = 28
-2x = 28 + 13
-2x = 41
x = - 20.5
=================
read this...
http://www.purplemath.com/modules/solveabs.htm

Answer 4

ohh, my options are worded though

Answer 5

i'll post them now

Answer 6

Eq. 1 has more solutions than Eq. 2
Eq1 and Eq2 have the same number of solutions
Eq2 has more solutions than Eq1
The number of solutions cannot be determined

Answer 7

@texaschic101 which would it be? the options is the part that confused me

Answer 8

Look at what you got and what texaschic101 got. Note that equation had two solutions and only two.
Equation also had 2 and only 2 solutions.
which option fits the situation?

Answer 9

Each equation had 2 and only 2 solutions.