Question

please help me,Determine the number of solutions to the following linear equation:

2x+1−3x=3−(x+2)
Question 2 options:

a)
Zero (0) solutions


b)
Infinitely many solutions


c)
Two (2) solutions


d)
One (1) solution

Answer 1

please help me

Answer 2

hi pucusana this is the solution

2x+1-3x=3-(x+2)
-x+1=3-x-2
-x+1=-x+1

so we are left with -x+1=-x+1, they basically cancel each other right. so its 0=0

now youre wondering how many solutions are there, well lets plug in some numbers

EX. 1
plugin 1
2(1)+1-3(1)=3-(1+2)
2+1-3=3-1-2
0=0

EX.2
plugin 2
2(2)+1-3(2)=3-(2+2)
4+1-6=3-2-2
5-6=1-2
-1=-1

so the final is that there are infinite solutions (b)

Answer 3

correct me if im wrong on something

Answer 4

are you sure this is right?

Answer 5

yes i just confirmed with my classmate

Answer 6

nevermind i have another question.

Answer 7

Determine the number of solutions for the following linear equation:

4x−8=4(x−1)
Question 3 options:

a)
One (1) solution


b)
Zero (0) solutions


c)
Two (2) solutions


d)
Infinitely many solutions

Answer 8

this stumped me too.

Answer 9

i think vandalisk is handling this one

Answer 10

I know the answer.
Infinitely many solutions.(b)
Because when we try to make it simplier, we miss x at all. That means that whatever x will be, we would have right equation

Answer 11

oh thank you thank you!

Answer 12

good job v

Answer 13

just basically plugin any number into x

Answer 14

any more questions?

Answer 15

2x+1−3x=3−(x+2)
FOIL
2(0)+1-3(0)=-3x-6
2(0)+1-3(0)=-3(0)-6
1= -6 ?