SOLUTION: Hello, Can you please help me solve this equation 1. ax+by=r solve for x 2. ax+cy=s solve for y there is one bracket ( { ) in front of both equations, just one fo

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Question 139211: Hello,
Can you please help me solve this equation
1. ax+by=r solve for x
2. ax+cy=s solve for y
there is one bracket ( { ) in front of both equations, just one for both combinded
thanks
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. ax+by=r solve for x
2. ax+cy=s solve for y
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If there is a bracket containing both 1. and 2.
You probably want the solution for the system
of two equations:
---------------------
Subtract 2 from 1 to get:
by-cy = r-s
y(b-c) = r-s
y = (r-s)/(b-c)
--------------------
Substitute to find "x".
ax + b[(r-s)/(b-c)] = r
ax(b-c) + b(r-s) = r(b-c)
x[ab-ac] = bs-rc
x = (bs-rc)/(ab-ac)
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Cheers,
Stan H.