Write as a Vector Equality x/7+y/8=0 , 1/7x-3/4y=7

Problem

{[x/7+y/8=0],[1/7*x−3/4*y=7])

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 from both equations to create the first vector: ([1/7],[1/7])

3. Extract the coefficients of y from both equations to create the second vector: ([1/8],[−3/4])

4. Identify the constants on the right side of the equations to form the resultant vector: ([0],[7])

5. Combine these components into a single vector equation where the variables x and y scale their respective coefficient vectors.

Final Answer

x*([1/7],[1/7])+y*([1/8],[−3/4])=([0],[7])

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