Asked by anonymous
                Solve for x and y using elimination
ax+by=c
bx+ay=c
This question has been confusing me for a long time, and I can't seem to find the answer by solving using elimination.
Thanks for helping me :)
            
        ax+by=c
bx+ay=c
This question has been confusing me for a long time, and I can't seem to find the answer by solving using elimination.
Thanks for helping me :)
Answers
                    Answered by
            Steve
            
    multiply #1 by b and #2 by a, and you have
abx+b^2y = bc
abx+a^2y = ac
now subtract
(b^2-a^2)y = (b-a)c
y = c/(a+b)
and use that to find x. Or, start all over and multiply by a and b to remove the y terms.
    
abx+b^2y = bc
abx+a^2y = ac
now subtract
(b^2-a^2)y = (b-a)c
y = c/(a+b)
and use that to find x. Or, start all over and multiply by a and b to remove the y terms.
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