Vectors Question! If 2x+3y=a and -x+5y=6b, express x and y in terms of a and b.

Question

kainui · Answer

Can you throw this into a matrix equation? Then once you've done that, just find the inverse matrix and that'll show you x and y in terms of a and b.

anonymous · Answer

@Hero @SolomonZelman Please help?

kainui · Answer

If you're just going to ignore me... why do you think they'll help you any more than me who's here trying to help?

anonymous · Answer

Yeah but I don't know what a matrix equation is, I'm sorry for ignoring you.

anonymous · Answer

Sorry, I should have told you that @Kainui

anonymous · Answer

hello

anonymous · Answer

Hey there! Are you able to help me? lol.

anonymous · Answer

multiply the second equation by 2 to get this
-2x + 10y = 12b

then add the 2 equations together like this

2x   +  3y   =a 
-2x + 10y = 12b
============ to get this
0 + 13y     = a + 12b

from here you find that y = (a+12b)/13

now substitute this y into any of the 2 original equation to find your x

good luck

anonymous · Answer

showed you above another way to find the answer if you dont know yet how to work with matrices, perhaps your class hasnt covered it yet...