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Mathematics 13 Online
OpenStudy (anonymous):

x+3y=3 and x=y+3

OpenStudy (anonymous):

What is the objective of this question?

OpenStudy (anonymous):

Theres not a lot of information?

OpenStudy (anonymous):

probably find x and y

OpenStudy (anonymous):

simultaneous equations

OpenStudy (anonymous):

solve using the substitution method and explain the steps

OpenStudy (anonymous):

x+3y=3 x=y+3

OpenStudy (anonymous):

yes so x = y + 3. the first equation is x + 3y = 3 but you KNOW what x equals. x = y + 3 so the first equation is x(which you KNOW) + 3y = 3 you know it because it = y + 3 so where you see x. think aha! thats not an x, thats a y + 3

OpenStudy (anonymous):

it is supposed to be solved using the substitution method

OpenStudy (anonymous):

yes. so why dont you substitute x. from one equation into the other equation. substitute x from the second equation into the first.

OpenStudy (anonymous):

so x = y + 3 is the second equation. x EQUALS = y + 3. x IS THE SAME AS y + 3. wherever there is an x THIS X MAY AS WELL BE Y + 3. it is completely the same if its an x or if its a y plus 3

OpenStudy (anonymous):

ok i am totally confused by your answer, so since the number 3 is in both equations does this mean that there is no solution

OpenStudy (anonymous):

no okay sorry i wanted you to come up with the method by yourself. ill just tell you. x + 3y = 3 x = y + 3 so since x = y + 3, we can just replace x with y + 3, because they are the same. So the first equation becomes y + 3 + 3y = 3 do you see?

OpenStudy (anonymous):

I am still a little confused and the method is the substitution method. I do see how you did that though

OpenStudy (anonymous):

yeh, what i did was "substitute" y + 3 for x. since they are the same

OpenStudy (anonymous):

the = sign means both are equal, the same, interchangable,

OpenStudy (anonymous):

this is the substitution method, i didnt invent it! :P

OpenStudy (anonymous):

ok i get it now thank you

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