Write as a Vector Equality x+y=11 , y=x-1

Problem

{[x+y=11],[y=x−1])

Solution

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

x+y=11

−x+y=−1

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

Coefficients of *x:([1],[−1])

Coefficients of *y:([1],[1])

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

Constants:([11],[−1])

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

x*([1],[−1])+y*([1],[1])=([11],[−1])

Final Answer

x*([1],[−1])+y*([1],[1])=([11],[−1])

Want more problems? Check here!