Write as a Vector Equality y=1/2x+2 , -2x+y=-1

Problem

{[y=1/2*x+2],[−2*x+y=−1])

Solution

1. Rearrange the equations into standard form a*x+b*y=c to align the variables.

−1/2*x+y=2

−2*x+y=−1

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

Vector for *x=([−1/2],[−2])

Vector for *y=([1],[1])

3. Identify the constants on the right side of the equations to form the constant vector.

Constant vector=([2],[−1])

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting the sum equal to the constant vector.

x*([−1/2],[−2])+y*([1],[1])=([2],[−1])

Final Answer

x*([−1/2],[−2])+y*([1],[1])=([2],[−1])

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