how would i solve ax + by = c

Question

im doing homework and i need help

Answer 1

I am assuming that a,b, and c are constants and you are attempting to solve for either the variable x or y.  in that case we can look at solving for each.

 

Y: to isolate (y), we must first move the (x) term to the right side of the equal by subtracting (ax) from both sides giving us [by = c - ax]. Then, we can divide both sides by (b) to isolate (y) on its own giving us the result of [y=(c - ax)/b)].

 

In order to solve for (x) you would follow the same process but isolate x instead which would render [x=(c-by)/a].