Use elimination to solve the system 4x = 3(1 − y) 3y = 4(8 − x)
probably want to start with \[4x=3-3y\] \[3y=32-4x\]
then maybe \[4x+3y=3\] \[4x+3y=32\] and then stop because your lines are parallel
then times the whole bottom equation by -1? so u can elliminate?
before you do anything, look at see that the left hand side of both lines is identical
and since the right hand side is not (you have 3 and 38) this means that the lines are parallel, so they do not intersect. no point in going further
if you multiply the second one by -1 and then add both the x and the y terms will drop out, leaving you with 0 = -29 which means no solution
what if there isnt two numbers that are the same? like this one 4x + 5y = 3 16x − 15y = 5
\[4x+5y=3\] \[16x-15y=5\] they are not parallel
for this one you can multiply the top one across by 3 and add, and the y will drop out but not the x
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