Write as a Vector Equality 1/5x+3/10y=1 , 1/6x-1/3y=2

Problem

{[1/5*x+3/10*y=1],[1/6*x−1/3*y=2])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Extract the coefficients of x to create the first vector: ([1/5],[1/6])

3. Extract the coefficients of y to create the second vector: ([3/10],[−1/3])

4. Identify the constants on the right side of the equations to form the resultant vector: ([1],[2])

5. Combine these components into a linear combination of vectors equal to the constant vector.

Final Answer

x*([1/5],[1/6])+y*([3/10],[−1/3])=([1],[2])

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