Question

The table below shows two equations:

Equation 1 |2x − 3| + 5 = 4
Equation 2 |5x + 3| − 10 = 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 = 2, −3.2.
The solutions to equation 1 are x = 1, 2 and equation 2 has no solution.
The solutions to equation 1 are x = 1, 2 and equation 2 has solutions x = 2, −3.2.

Answer 1

i really need help with this!!!!!

Answer 2

ok tell this-
whenever u have something like this-> |a+b| then will the output be positive or negative :)

Answer 3

negative

Answer 4

no it will be positive
the absolute function (this function-> | | ) always gives a positive output

for example if u have this- |-3| then this will equal 3
so |-3|=3
and if u have this ->|3|
then |3|=3

ok so far?

Answer 5

yes

Answer 6

we have this-
|2x − 3| + 5 = 4

try to isolate the absolute term (that is the term in this-> | | )

Answer 7

x=2

Answer 8

how did u get this

Answer 9

2x-3+5=4
-5 -5
2x-3=-1
+3 +3
2x=4
divided by two equals x=2

Answer 10

1st of all -1+3=2 and u did 4 over there^
and |2x-3| is not the same as (2x-3)
:)

Answer 11

ok ima tell :)

so we have this-
|2x − 3| + 5 = 4

subtract 5 from both sides we get this-
|2x − 3| = -1

but we know that whenever anything is under this sign- | | the result is always positive
but here we see that the result is negative
so no solution
ok?

Answer 12

oh okay

Answer 13

for the second part-
|5x + 3| − 10 = 3
add 10 to both sides u get this-
|5x + 3| = 13

now we know that |-13|=13 and |13|=13
so 5x+3=-13 or 5x+3=13
so x=-3.2 or x=2

:)

Answer 14

qwerty