Question

Given vectors a, b, x, and y:
If 3x-2y=a and 5x-3y=b, express vectors x and y in terms of a and b.

Answer 1

Multiply First equation by 3 and Second Equation by 2,

9x - 6y = 3a (First Equation)
10x - 6y = 2b (Second Equation)

Subtract the two equations,

-x = 3a - 2b

Or, x = 2b - 3a..

Like wise, from first equation, 2y = 3x - a

So, 2y = 3(2b - 3a) - a

2y = 6b - 9a - a

y = (6b - 10a)/2

So, y = 3b - 5a...

Therefore, x = (2b - 3a) and y = (3b - 5a) is the answer...

Answer 2

Thanks for the solution!:D

Answer 3

Welcome dear...