Question

I need help with absolute value equations!

Answer 1

whats your question

Answer 2

\[\left| 6x+7 \right|=5x+2\]

Answer 3

hold on

Answer 4

go to to mathway.com it gives u all s
ure answers k?

Answer 5

I need it to be explained.

Answer 6

Okay, absolute value is never a negative. For example, -5's absolute value would be 5.
Or -2's absolute value would be 2. http://www.purplemath.com/modules/absolute.htm
This site should help on absolute value.

Answer 7

The first part is asking you to find the absolute value of 6x+7.

Answer 8

when doing this
\[ \left| 6x+7 \right|=5x+2 \]
either 5x+7 is positive or negative
if it is zero or positive, we can drop the | | (they don't do anything)
so step 1: solve
6x+7 = 5x+2

Answer 9

*either6x+7 is positive or negative

Answer 10

And it is positive.

Answer 11

can you solve for x in
6x+7 = 5x+2 ?

Answer 12

This is what I got.
6x+7=5x+2 or 6x+7=5x-2

Answer 13

just
6x+7=5x+2
add -5x to both sides
add -7 to both sides

Answer 14

x=-5

Answer 15

now we check to see if that works
6x+7 with x= -5
6*-5+7 = -30+7 = -23

we assumed it was positive but we got a negative answer. not good
but if we continue and check the other side
\[ \left| 6x+7 \right|=5x+2 \\
|-23|= 5\cdot -5+2 \\
23= -23 \text{ NO!}
\]

Answer 16

now let's assume 6x+7 is negative
if it is negative, then -1*(6x+7) will be positive
so | 6x+7| is the same as -1*(6x+7) (both become positive)
so let's solve
\[ -1\cdot (6x+7) = 5x+2\]

Answer 17

x= -9/11

Answer 18

yes, and now we check this one
6x+7= 6*-9/11 + 7 = -54/11 + 77/11 = 23/11

5x+2 = 5*-9/11 + 22/11 = -45/11 + 22/11 = -23/11
we end up with
23/11 = -23/11 and that is not true.

so there are no solutions for this problem

Answer 19

How do I graph this?

Answer 20

can you plot y=5x+2 ?

Answer 21

I'm supposed to graph it on a number line.

Answer 22

First, are you sure we have the correct problem? can you double check?

Answer 23

All it says is to solve and graph the equation.

Answer 24

yes, but are you sure it is
| 6x+7| = 5x+2

Answer 25

I'm sure.

Answer 26

in that case, there is no solution
you can't graph "no solution"
you can say there is none.

Answer 27

Okay. Thank you.