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- anonymous

Whats your question?

- M_M13

2(2x + 5) = 4(X + 3)

- M_M13

how many solutions does this question have
a. 1
b. infinite
c. none

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- anonymous

2(2x + 5) = 4(X + 3)
4x + 10 = 4x + 12
4x + 10 - 10 = 4x + 12 - 10
4x = 4x + 2
4x - 4x = 4x - 4x + 2
0 = 2
So, how many solutions can this line have? Do you know?

- M_M13

I don't know, how do you know how many?

- anonymous

First you need to distribute any numbers outside of the parenthesis through the parenthesis (that was a horrible explanation I'm sorry...)
2(2x+5)=4(x+3)
4x+10=4x+3
then you try to get x on one side of the equation so you can solve for it.
4x-4x=0
10≠3 , therefore there are no solutions to the equation

- M_M13

oh

- anonymous

infinite solutions would be like if the equation was 3 = 3, as any number could be placed in x to solve the equation.
one solution would be like x = 3, as only one number can equal x for the problem to be correct.
no solution would be 4 = 7, as this is incorrect, and no number can be placed in x for it to work

- M_M13

so the answer to the question is c) no solution

- anonymous

Yes

- M_M13

thank you

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