Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
[tex]\left\{\begin{array}{ccc}-6x-6y=6&|divide\ both\ sides\ by\ 6\\12x+12y=-12&|divide\ both\ sides\ by\ 12\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x-y=1\\x+y=-1\end{array}\right}\ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ \ 0=0\leftarrow TRUE\\\\therefore\\\\
infinitely\ many\ solutions\Rightarrow \left\{\begin{array}{ccc}y=-x-1\\x\in\mathbb{R}\end{array}\right[/tex]
-6x-6y=6
12x+12x=-12
multiply first equaltion by 2
-12x-12y=12
add to second equation
12x-12x+12y-12y=12-12
0=0
this means that they are the same equation and you really have one equation, but modified
an easy way to find the solution is to make one side equal to one of the placeholders exg y=x+930
12x+12y=-12
divide both sdides by 12
x+y=-1
subtrac x from both sdies
y=-x-1
subsitute values for x and get values for y exg
if x=1 then y=-2
if x=-1 then y=0
if x=0 then y=-1
12x+12x=-12
multiply first equaltion by 2
-12x-12y=12
add to second equation
12x-12x+12y-12y=12-12
0=0
this means that they are the same equation and you really have one equation, but modified
an easy way to find the solution is to make one side equal to one of the placeholders exg y=x+930
12x+12y=-12
divide both sdides by 12
x+y=-1
subtrac x from both sdies
y=-x-1
subsitute values for x and get values for y exg
if x=1 then y=-2
if x=-1 then y=0
if x=0 then y=-1
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.