If a = 3x+2y and b=5x-4y, find x and y in terms of a and b.
Note: bolded=vectors (arrows on top)
So this is my attempt, but leads me to no enlightenment.. Please demonstrate to me the method to proceed to the correct answer.
x = (a/3) - (2y/3)
y = (-b/4) +(5x/4)
equation 1:
equation 2:
multiply equation 1 by 2 and add the result to the second equation
hence, solving for x we obtain
to solve for we need to multiply the first equation by 5 and the second by 3 then subtract the second from the first, we obtain
solving for y we find