Write as a Vector Equality y=-2x+14 , y=-x+22

Problem

{[y=−2*x+14],[y=−x+22])

Solution

1. Rearrange the equations into standard form a*x+b*y=c so that the variables are on the left side.

2*x+y=14

x+y=22

2. Identify the coefficients of x and y to form the column vectors for the vector equation.

Coefficients of *x:([2],[1])

Coefficients of *y:([1],[1])

3. Identify the constants on the right side to form the result vector.

Constants:([14],[22])

4. Construct the vector equality by multiplying the variable scalars by their respective coefficient vectors.

x*([2],[1])+y*([1],[1])=([14],[22])

Final Answer

x*([2],[1])+y*([1],[1])=([14],[22])

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