If given A,B,C, Find constants x,y |xA +yB=C

[astroman707]

Homework Statement

Three vectors are given:
A=2i+3j, B=1i+5j, C=-1i+3j
Find constants x and y such that xA+yB=C

Homework Equations

N/A

The Attempt at a Solution

The form of the final equation reminded me if standard form of a slope, so I found the total vector for A,B, and C. I was then going to put it in the form Ax+By=C, but then I realized I’d be solving for slope, and I don’t think that’s the direction I want to go.

 

[andrevdh]

try separating the vector equation xA + yB into their two components - that is two equations, one for i and one for j