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Mathematics 16 Online
OpenStudy (anonymous):

http://prntscr.com/226vpj

OpenStudy (anonymous):

If you solve \(9 - x = -3y\) for x what do you get?

OpenStudy (anonymous):

3?

OpenStudy (anonymous):

No. If you solve for x you're going to get an expression in the form of \(x = \) and there will be y and some other stuff on the right side. Because you haven't actually gotten rid of y at this point.

OpenStudy (anonymous):

i got no solutions as the answer cuz nuthing plugged into the first equation correctly

OpenStudy (anonymous):

is that right?

OpenStudy (anonymous):

No, it isn't.

OpenStudy (anonymous):

i thibk D makes sense cuz i got -9 and 9

OpenStudy (anonymous):

I have no idea what you're saying. Do you want me to explain to you how to do this problem or do you want to keep guessing randomly?

OpenStudy (anonymous):

explain please

OpenStudy (anonymous):

Ok, let's try to solve it by substitution. The first equation is solved for x, so let's substitute that into the second equation. \[9 - (3y + 9) = -3y \\ 9 - 3y - 9 = -3y \\ -3y + 9 - 9 = -3y \\ -3y = -3y \\ y = y\] In other words, there are infinite solutions.

OpenStudy (anonymous):

If this isn't clear why this means infinite solutions, try solving the second equation for x. You'll get \(x = 3y + 9\). In other words, the "two" lines are exactly the same line, which means they intersect everywhere because they are exactly the same. So, there are infinite solutions.

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

http://prntscr.com/2270r0 i think this 1 is also infinite solutions? can you confirm?

OpenStudy (anonymous):

No. It does not have infinite solutions.

OpenStudy (anonymous):

i guess its no solution right? cuz A and D dont make sense i think

OpenStudy (anonymous):

Don't think of it in terms of the multiple choices unless you're really short of time or something. You don't really learn anything if you don't work through it.

OpenStudy (anonymous):

i worked thru thm but i dont thick choices a and D made snese so i went with no solutions

OpenStudy (anonymous):

Equation 1 says \(-3x - 3y = 5\) Let's make equation 2 look like that. \[-3y = 3x - 2 \\ -3x - 3y =-2\] The same combination of x and y can't add up to both 5 and -2. So it's clearly no solution.

OpenStudy (anonymous):

thanks you so B is right?

OpenStudy (anonymous):

You tell me.

OpenStudy (anonymous):

you said the combination cant make 5 and -2 so its no solution right?

OpenStudy (anonymous):

Right.

OpenStudy (anonymous):

thank you. i need help with 1 more please. i got no solutions as well because the other choices didnt compute right http://prntscr.com/2272nh

OpenStudy (anonymous):

If you're just going to try the choices and don't actually to solve the equations I'm not going to help you.

OpenStudy (anonymous):

-6=3x+y=2 and 4x=4+5y with both x and y=24

OpenStudy (anonymous):

might of messed up on the first part

OpenStudy (anonymous):

so i ended up getting B becuz both x and y ended up equaling 24

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