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Mathematics 53 Online
OpenStudy (anonymous):

Solve 2 + 2x = 3 + 2x using inverse operations. How does the algebraic result show you that there is no solution?

OpenStudy (misty1212):

lol we just said there was "NO SOLUTION"

OpenStudy (anonymous):

SHOOT WRONG QUESTION I TYPED

OpenStudy (misty1212):

your math teacher is being stupid but we can do it anyways

OpenStudy (misty1212):

kk

OpenStudy (anonymous):

how many solution do you think the equation -10x + 3 = 5x -27 has? explain. then find the solution.

OpenStudy (michele_laino):

please you have to solve it, first

OpenStudy (misty1212):

lets add \(10x\) to both sides to get rid of the annoying \(-10x\) on the left

OpenStudy (anonymous):

ok. do i add the ten to the -27 on the right side?

OpenStudy (michele_laino):

please add 27 to both sides, what do you get?

OpenStudy (misty1212):

no dear you do not add the ten to the minus 27, because it is \(10x\) not \(10\) you add the \(10x\) to the \(5x\)

OpenStudy (anonymous):

so then you have x + 3 = 15x - 27?

OpenStudy (misty1212):

not quite

OpenStudy (michele_laino):

no, please you have 3=15x -27

OpenStudy (misty1212):

the point of adding \(10x\) was to get rid of the \(-10x\) on the left, now it is gone for good

OpenStudy (anonymous):

ohh ok. so its 3 = 15x -27

OpenStudy (misty1212):

it doesn't leave behind a residual \(x\) hanging around, they are gone for good

OpenStudy (misty1212):

yeah what you wrote now add \(27\) to both sides so the variable is by itself on the right, and the numbers are on the left

OpenStudy (michele_laino):

now, please add 27 to both sides

OpenStudy (anonymous):

3- = 15x

OpenStudy (anonymous):

OOOPs. 30 = 15x

OpenStudy (misty1212):

yay!

OpenStudy (anonymous):

great! now divide?

OpenStudy (misty1212):

yes !!

OpenStudy (michele_laino):

then divide both sides by 15

OpenStudy (anonymous):

don't u divide by 15?

OpenStudy (misty1212):

yes

OpenStudy (misty1212):

or just think what number you would multiply 15 by to get 30

OpenStudy (anonymous):

2

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

so it has one solution right? the question implies it has more

OpenStudy (michele_laino):

only one solution, please

OpenStudy (misty1212):

tada \(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)

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