- #1

ilovecake

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## Homework Statement

A general system of linear equations is

ax+by=e

cx+dy=f

where a,b,c,d,e,f are constant values.

a)Use elimination to solve for x and y in terms of a,b,c,d,e,f.

b)Are there any values that a,b,c,d,e,f cannot have?

## The Attempt at a Solution

For part A, I got x=(e-f)/(a-c), assuming using subtraction for elimination, but in the answers it says x=(de-bf)/(ad-bc). Why are the coefficients of y there?

For part B, I think ad=/=bc because then both equations would cancel out, and it is either the exact same equation or has the same slope but parallel and never intersecting.

for example, 15x+9y & 5x+3y

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