Write as a Vector Equality y-2x=5 , 2y-4x=4

Problem

{[y−2*x=5],[2*y−4*x=4])

Solution

1. Rearrange the equations to align the variables x and y in standard order.

−2*x+y=5

−4*x+2*y=4

2. Identify the coefficients of x and y to form the column vectors for each variable.

x* coefficients: *([−2],[−4])

y* coefficients: *([1],[2])

3. Express the system as a linear combination of these column vectors equated to the constant vector.

x*([−2],[−4])+y*([1],[2])=([5],[4])

Final Answer

x*([−2],[−4])+y*([1],[2])=([5],[4])

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