SOLUTION: solve for x and y. ax+by=m { bx-ay=c

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Question 461052: solve for x and y.
ax+by=m
{
bx-ay=c

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
ax%2Bby=m.......1
bx-ay=c.......2
---------------------------

ax=m-by.......1

x=m%2Fa-by%2Fa
highlight%28x=%28m-by%29%2Fa%29........plug in 2

bx-ay=c.......2

b%28m-by%29%2Fa-ay=c

bm-b%5E2y-a%5E2y=ac

-b%5E2y-a%5E2y=ac-bm... both sides multiply by -1
b%5E2y%2Ba%5E2y=-ac%2Bbm
y%28b%5E2%2Ba%5E2%29=bm-ac
highlight%28y=%28bm-ac%29%2F%28b%5E2%2Ba%5E2%29%29