Write as a Vector Equality 2/x-3/y=2 , -10/x+9/y=-8

Problem

{[2/x−3/y=2],[−10/x+9/y=−8])

Solution

1. Identify the variables in the system of equations, which are the reciprocal terms 1/x and 1/y

2. Express each equation as a linear combination of the column vectors formed by the coefficients of 1/x and 1/y

3. Construct the vector equation by grouping the coefficients of 1/x into one vector and the coefficients of 1/y into another vector.

4. Equate the sum of these scaled vectors to the vector of constants from the right-hand side of the equations.

Final Answer

1/x*[[2],[−10]]+1/y*[[−3],[9]]=[[2],[−8]]

Want more problems? Check here!