Write as a Vector Equality x=9y+8 , x+8=9y

Problem

x=9*y+8,x+8=9*y

Solution

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

x−9*y=8

x−9*y=−8

2. Identify the coefficients of the variables x and y to form the coefficient matrix.

([1,−9],[1,−9])

3. Define the variable vector and the constant vector based on the rearranged equations.

Variable vector=([x],[y])

Constant vector=([8],[−8])

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

([1,−9],[1,−9])*([x],[y])=([8],[−8])

Final Answer

([1,−9],[1,−9])*([x],[y])=([8],[−8])

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